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Finding the Fourth Proportional to 821.59, 1,232.31 and 474.66

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Solution

The fourth proportional to 821.59, 1,232.31 and 474.66 is: 711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.59 : 1,232.31 = 474.66 : x
  2. Step 2: Convert to fraction form
    821.59/1,232.31 = 474.66/x
  3. Step 3: Cross multiply
    821.59x = 1,232.31 × 474.66
  4. Step 4: Simplify right side
    821.59x = 584,930.04
  5. Step 5: Solve for x
    x = 584,930.04/821.59
  6. Step 6: Final answer
    x = 711.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.