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Finding the Fourth Proportional to 732.95, 1,011.57 and 438.20

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Solution

The fourth proportional to 732.95, 1,011.57 and 438.20 is: 604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.95 : 1,011.57 = 438.20 : x
  2. Step 2: Convert to fraction form
    732.95/1,011.57 = 438.20/x
  3. Step 3: Cross multiply
    732.95x = 1,011.57 × 438.20
  4. Step 4: Simplify right side
    732.95x = 443,269.97
  5. Step 5: Solve for x
    x = 443,269.97/732.95
  6. Step 6: Final answer
    x = 604.78

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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.