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Finding the Fourth Proportional to 524.57, 724.05 and 358.74

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Solution

The fourth proportional to 524.57, 724.05 and 358.74 is: 495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.57 : 724.05 = 358.74 : x
  2. Step 2: Convert to fraction form
    524.57/724.05 = 358.74/x
  3. Step 3: Cross multiply
    524.57x = 724.05 × 358.74
  4. Step 4: Simplify right side
    524.57x = 259,745.70
  5. Step 5: Solve for x
    x = 259,745.70/524.57
  6. Step 6: Final answer
    x = 495.16

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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.