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Finding the Fourth Proportional to 820.31, 1,229.66 and 454.32

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Solution

The fourth proportional to 820.31, 1,229.66 and 454.32 is: 681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.31 : 1,229.66 = 454.32 : x
  2. Step 2: Convert to fraction form
    820.31/1,229.66 = 454.32/x
  3. Step 3: Cross multiply
    820.31x = 1,229.66 × 454.32
  4. Step 4: Simplify right side
    820.31x = 558,656.86
  5. Step 5: Solve for x
    x = 558,656.86/820.31
  6. Step 6: Final answer
    x = 681.04

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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.