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Finding the Fourth Proportional to 731.70, 1,010.25 and 466.53

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Solution

The fourth proportional to 731.70, 1,010.25 and 466.53 is: 644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.70 : 1,010.25 = 466.53 : x
  2. Step 2: Convert to fraction form
    731.70/1,010.25 = 466.53/x
  3. Step 3: Cross multiply
    731.70x = 1,010.25 × 466.53
  4. Step 4: Simplify right side
    731.70x = 471,311.93
  5. Step 5: Solve for x
    x = 471,311.93/731.70
  6. Step 6: Final answer
    x = 644.13

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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.