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Finding the Fourth Proportional to 821.66, 1,232.16 and 382.90

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Solution

The fourth proportional to 821.66, 1,232.16 and 382.90 is: 574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.66 : 1,232.16 = 382.90 : x
  2. Step 2: Convert to fraction form
    821.66/1,232.16 = 382.90/x
  3. Step 3: Cross multiply
    821.66x = 1,232.16 × 382.90
  4. Step 4: Simplify right side
    821.66x = 471,794.06
  5. Step 5: Solve for x
    x = 471,794.06/821.66
  6. Step 6: Final answer
    x = 574.20

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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.