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Finding the Fourth Proportional to 524.60, 724.16 and 325.52

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Solution

The fourth proportional to 524.60, 724.16 and 325.52 is: 449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.60 : 724.16 = 325.52 : x
  2. Step 2: Convert to fraction form
    524.60/724.16 = 325.52/x
  3. Step 3: Cross multiply
    524.60x = 724.16 × 325.52
  4. Step 4: Simplify right side
    524.60x = 235,728.56
  5. Step 5: Solve for x
    x = 235,728.56/524.60
  6. Step 6: Final answer
    x = 449.35

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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.