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Finding the Fourth Proportional to 747.70, 1,121.24 and 439.62

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Solution

The fourth proportional to 747.70, 1,121.24 and 439.62 is: 659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.70 : 1,121.24 = 439.62 : x
  2. Step 2: Convert to fraction form
    747.70/1,121.24 = 439.62/x
  3. Step 3: Cross multiply
    747.70x = 1,121.24 × 439.62
  4. Step 4: Simplify right side
    747.70x = 492,919.53
  5. Step 5: Solve for x
    x = 492,919.53/747.70
  6. Step 6: Final answer
    x = 659.25

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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.