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Finding the Fourth Proportional to 781.01, 1,171.18 and 318.47

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Solution

The fourth proportional to 781.01, 1,171.18 and 318.47 is: 477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.01 : 1,171.18 = 318.47 : x
  2. Step 2: Convert to fraction form
    781.01/1,171.18 = 318.47/x
  3. Step 3: Cross multiply
    781.01x = 1,171.18 × 318.47
  4. Step 4: Simplify right side
    781.01x = 372,978.25
  5. Step 5: Solve for x
    x = 372,978.25/781.01
  6. Step 6: Final answer
    x = 477.56

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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.