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Finding the Fourth Proportional to 1,105.70, 1,525.70 and 712.76

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Solution

The fourth proportional to 1,105.70, 1,525.70 and 712.76 is: 983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.70 : 1,525.70 = 712.76 : x
  2. Step 2: Convert to fraction form
    1,105.70/1,525.70 = 712.76/x
  3. Step 3: Cross multiply
    1,105.70x = 1,525.70 × 712.76
  4. Step 4: Simplify right side
    1,105.70x = 1,087,457.93
  5. Step 5: Solve for x
    x = 1,087,457.93/1,105.70
  6. Step 6: Final answer
    x = 983.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,106.70, 1,527.08 and 713.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.