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Finding the Fourth Proportional to 732.76, 1,010.90 and 467.28

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Solution

The fourth proportional to 732.76, 1,010.90 and 467.28 is: 644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.76 : 1,010.90 = 467.28 : x
  2. Step 2: Convert to fraction form
    732.76/1,010.90 = 467.28/x
  3. Step 3: Cross multiply
    732.76x = 1,010.90 × 467.28
  4. Step 4: Simplify right side
    732.76x = 472,373.35
  5. Step 5: Solve for x
    x = 472,373.35/732.76
  6. Step 6: Final answer
    x = 644.65

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Double scale
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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.