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Finding the Fourth Proportional to 705.41, 973.67 and 469.70

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Solution

The fourth proportional to 705.41, 973.67 and 469.70 is: 648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.41 : 973.67 = 469.70 : x
  2. Step 2: Convert to fraction form
    705.41/973.67 = 469.70/x
  3. Step 3: Cross multiply
    705.41x = 973.67 × 469.70
  4. Step 4: Simplify right side
    705.41x = 457,331.88
  5. Step 5: Solve for x
    x = 457,331.88/705.41
  6. Step 6: Final answer
    x = 648.32

Related Problems

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Half scale
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Double scale
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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.