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Finding the Fourth Proportional to 820.52, 1,230.30 and 560.91

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Solution

The fourth proportional to 820.52, 1,230.30 and 560.91 is: 841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.52 : 1,230.30 = 560.91 : x
  2. Step 2: Convert to fraction form
    820.52/1,230.30 = 560.91/x
  3. Step 3: Cross multiply
    820.52x = 1,230.30 × 560.91
  4. Step 4: Simplify right side
    820.52x = 690,087.57
  5. Step 5: Solve for x
    x = 690,087.57/820.52
  6. Step 6: Final answer
    x = 841.04

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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.