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Finding the Fourth Proportional to 1,706.10, 2,558.96 and 473.70

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Solution

The fourth proportional to 1,706.10, 2,558.96 and 473.70 is: 710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.10 : 2,558.96 = 473.70 : x
  2. Step 2: Convert to fraction form
    1,706.10/2,558.96 = 473.70/x
  3. Step 3: Cross multiply
    1,706.10x = 2,558.96 × 473.70
  4. Step 4: Simplify right side
    1,706.10x = 1,212,179.35
  5. Step 5: Solve for x
    x = 1,212,179.35/1,706.10
  6. Step 6: Final answer
    x = 710.50

Related Problems

Find fourth proportional to 853.05, 1,279.48 and 236.85
Half scale
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Double scale
Find fourth proportional to 1,707.10, 2,560.46 and 474.70
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.