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Finding the Fourth Proportional to 821.61, 1,232.24 and 382.82

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Solution

The fourth proportional to 821.61, 1,232.24 and 382.82 is: 574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.61 : 1,232.24 = 382.82 : x
  2. Step 2: Convert to fraction form
    821.61/1,232.24 = 382.82/x
  3. Step 3: Cross multiply
    821.61x = 1,232.24 × 382.82
  4. Step 4: Simplify right side
    821.61x = 471,718.04
  5. Step 5: Solve for x
    x = 471,718.04/821.61
  6. Step 6: Final answer
    x = 574.14

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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.