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Finding the Fourth Proportional to 524.22, 781.26 and 519.90

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Solution

The fourth proportional to 524.22, 781.26 and 519.90 is: 774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.22 : 781.26 = 519.90 : x
  2. Step 2: Convert to fraction form
    524.22/781.26 = 519.90/x
  3. Step 3: Cross multiply
    524.22x = 781.26 × 519.90
  4. Step 4: Simplify right side
    524.22x = 406,177.07
  5. Step 5: Solve for x
    x = 406,177.07/524.22
  6. Step 6: Final answer
    x = 774.82

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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.