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Finding the Fourth Proportional to 524.60, 724.12 and 358.76

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Solution

The fourth proportional to 524.60, 724.12 and 358.76 is: 495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.60 : 724.12 = 358.76 : x
  2. Step 2: Convert to fraction form
    524.60/724.12 = 358.76/x
  3. Step 3: Cross multiply
    524.60x = 724.12 × 358.76
  4. Step 4: Simplify right side
    524.60x = 259,785.29
  5. Step 5: Solve for x
    x = 259,785.29/524.60
  6. Step 6: Final answer
    x = 495.21

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1.5x scale

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.