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Finding the Fourth Proportional to 523.67, 781.25 and 498.15

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Solution

The fourth proportional to 523.67, 781.25 and 498.15 is: 743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.67 : 781.25 = 498.15 : x
  2. Step 2: Convert to fraction form
    523.67/781.25 = 498.15/x
  3. Step 3: Cross multiply
    523.67x = 781.25 × 498.15
  4. Step 4: Simplify right side
    523.67x = 389,177.20
  5. Step 5: Solve for x
    x = 389,177.20/523.67
  6. Step 6: Final answer
    x = 743.18

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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.