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Finding the Fourth Proportional to 488.28, 727.35 and 460.92

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Solution

The fourth proportional to 488.28, 727.35 and 460.92 is: 686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.28 : 727.35 = 460.92 : x
  2. Step 2: Convert to fraction form
    488.28/727.35 = 460.92/x
  3. Step 3: Cross multiply
    488.28x = 727.35 × 460.92
  4. Step 4: Simplify right side
    488.28x = 335,250.16
  5. Step 5: Solve for x
    x = 335,250.16/488.28
  6. Step 6: Final answer
    x = 686.59

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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.