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Finding the Fourth Proportional to 478.28, 712.52 and 460.86

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Solution

The fourth proportional to 478.28, 712.52 and 460.86 is: 686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.28 : 712.52 = 460.86 : x
  2. Step 2: Convert to fraction form
    478.28/712.52 = 460.86/x
  3. Step 3: Cross multiply
    478.28x = 712.52 × 460.86
  4. Step 4: Simplify right side
    478.28x = 328,371.97
  5. Step 5: Solve for x
    x = 328,371.97/478.28
  6. Step 6: Final answer
    x = 686.57

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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.