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Finding the Fourth Proportional to 523.90, 781.58 and 481.56

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Solution

The fourth proportional to 523.90, 781.58 and 481.56 is: 718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.90 : 781.58 = 481.56 : x
  2. Step 2: Convert to fraction form
    523.90/781.58 = 481.56/x
  3. Step 3: Cross multiply
    523.90x = 781.58 × 481.56
  4. Step 4: Simplify right side
    523.90x = 376,377.66
  5. Step 5: Solve for x
    x = 376,377.66/523.90
  6. Step 6: Final answer
    x = 718.42

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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.