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Finding the Fourth Proportional to 485.49, 724.16 and 441.75

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Solution

The fourth proportional to 485.49, 724.16 and 441.75 is: 658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.49 : 724.16 = 441.75 : x
  2. Step 2: Convert to fraction form
    485.49/724.16 = 441.75/x
  3. Step 3: Cross multiply
    485.49x = 724.16 × 441.75
  4. Step 4: Simplify right side
    485.49x = 319,897.68
  5. Step 5: Solve for x
    x = 319,897.68/485.49
  6. Step 6: Final answer
    x = 658.92

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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.