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Finding the Fourth Proportional to 747.42, 1,118.75 and 500.15

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Solution

The fourth proportional to 747.42, 1,118.75 and 500.15 is: 748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.42 : 1,118.75 = 500.15 : x
  2. Step 2: Convert to fraction form
    747.42/1,118.75 = 500.15/x
  3. Step 3: Cross multiply
    747.42x = 1,118.75 × 500.15
  4. Step 4: Simplify right side
    747.42x = 559,534.72
  5. Step 5: Solve for x
    x = 559,534.72/747.42
  6. Step 6: Final answer
    x = 748.62

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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.