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Finding the Fourth Proportional to 747.13, 1,121.02 and 400.38

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Solution

The fourth proportional to 747.13, 1,121.02 and 400.38 is: 600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.13 : 1,121.02 = 400.38 : x
  2. Step 2: Convert to fraction form
    747.13/1,121.02 = 400.38/x
  3. Step 3: Cross multiply
    747.13x = 1,121.02 × 400.38
  4. Step 4: Simplify right side
    747.13x = 448,833.99
  5. Step 5: Solve for x
    x = 448,833.99/747.13
  6. Step 6: Final answer
    x = 600.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.