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Finding the Fourth Proportional to 781.28, 1,078.22 and 431.98

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Solution

The fourth proportional to 781.28, 1,078.22 and 431.98 is: 596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.28 : 1,078.22 = 431.98 : x
  2. Step 2: Convert to fraction form
    781.28/1,078.22 = 431.98/x
  3. Step 3: Cross multiply
    781.28x = 1,078.22 × 431.98
  4. Step 4: Simplify right side
    781.28x = 465,769.48
  5. Step 5: Solve for x
    x = 465,769.48/781.28
  6. Step 6: Final answer
    x = 596.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.