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Finding the Fourth Proportional to 486.32, 724.84 and 459

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Solution

The fourth proportional to 486.32, 724.84 and 459 is: 684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.32 : 724.84 = 459 : x
  2. Step 2: Convert to fraction form
    486.32/724.84 = 459/x
  3. Step 3: Cross multiply
    486.32x = 724.84 × 459
  4. Step 4: Simplify right side
    486.32x = 332,701.56
  5. Step 5: Solve for x
    x = 332,701.56/486.32
  6. Step 6: Final answer
    x = 684.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.