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Finding the Fourth Proportional to 732.42, 1,010.46 and 437.64

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Solution

The fourth proportional to 732.42, 1,010.46 and 437.64 is: 603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.42 : 1,010.46 = 437.64 : x
  2. Step 2: Convert to fraction form
    732.42/1,010.46 = 437.64/x
  3. Step 3: Cross multiply
    732.42x = 1,010.46 × 437.64
  4. Step 4: Simplify right side
    732.42x = 442,217.71
  5. Step 5: Solve for x
    x = 442,217.71/732.42
  6. Step 6: Final answer
    x = 603.78

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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.