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Finding the Fourth Proportional to 524.82, 724.65 and 426.42

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Solution

The fourth proportional to 524.82, 724.65 and 426.42 is: 588.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.82 : 724.65 = 426.42 : x
  2. Step 2: Convert to fraction form
    524.82/724.65 = 426.42/x
  3. Step 3: Cross multiply
    524.82x = 724.65 × 426.42
  4. Step 4: Simplify right side
    524.82x = 309,005.25
  5. Step 5: Solve for x
    x = 309,005.25/524.82
  6. Step 6: Final answer
    x = 588.78

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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.