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Finding the Fourth Proportional to 486.09, 724.31 and 462.56

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Solution

The fourth proportional to 486.09, 724.31 and 462.56 is: 689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.09 : 724.31 = 462.56 : x
  2. Step 2: Convert to fraction form
    486.09/724.31 = 462.56/x
  3. Step 3: Cross multiply
    486.09x = 724.31 × 462.56
  4. Step 4: Simplify right side
    486.09x = 335,030.90
  5. Step 5: Solve for x
    x = 335,030.90/486.09
  6. Step 6: Final answer
    x = 689.24

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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.