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Finding the Fourth Proportional to 523.82, 726.15 and 503.30

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Solution

The fourth proportional to 523.82, 726.15 and 503.30 is: 697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.82 : 726.15 = 503.30 : x
  2. Step 2: Convert to fraction form
    523.82/726.15 = 503.30/x
  3. Step 3: Cross multiply
    523.82x = 726.15 × 503.30
  4. Step 4: Simplify right side
    523.82x = 365,471.30
  5. Step 5: Solve for x
    x = 365,471.30/523.82
  6. Step 6: Final answer
    x = 697.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.