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Finding the Fourth Proportional to 524.90, 724.49 and 328.68

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Solution

The fourth proportional to 524.90, 724.49 and 328.68 is: 453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.90 : 724.49 = 328.68 : x
  2. Step 2: Convert to fraction form
    524.90/724.49 = 328.68/x
  3. Step 3: Cross multiply
    524.90x = 724.49 × 328.68
  4. Step 4: Simplify right side
    524.90x = 238,123.73
  5. Step 5: Solve for x
    x = 238,123.73/524.90
  6. Step 6: Final answer
    x = 453.66

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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.