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Finding the Fourth Proportional to 731.85, 1,010.21 and 452.30

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Solution

The fourth proportional to 731.85, 1,010.21 and 452.30 is: 624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.85 : 1,010.21 = 452.30 : x
  2. Step 2: Convert to fraction form
    731.85/1,010.21 = 452.30/x
  3. Step 3: Cross multiply
    731.85x = 1,010.21 × 452.30
  4. Step 4: Simplify right side
    731.85x = 456,910.67
  5. Step 5: Solve for x
    x = 456,910.67/731.85
  6. Step 6: Final answer
    x = 624.33

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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.