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Finding the Fourth Proportional to 747.45, 1,115.07 and 687.18

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Solution

The fourth proportional to 747.45, 1,115.07 and 687.18 is: 1,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.45 : 1,115.07 = 687.18 : x
  2. Step 2: Convert to fraction form
    747.45/1,115.07 = 687.18/x
  3. Step 3: Cross multiply
    747.45x = 1,115.07 × 687.18
  4. Step 4: Simplify right side
    747.45x = 766,253.80
  5. Step 5: Solve for x
    x = 766,253.80/747.45
  6. Step 6: Final answer
    x = 1,025.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.