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Finding the Fourth Proportional to 820.11, 1,230.12 and 560.61

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Solution

The fourth proportional to 820.11, 1,230.12 and 560.61 is: 840.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.11 : 1,230.12 = 560.61 : x
  2. Step 2: Convert to fraction form
    820.11/1,230.12 = 560.61/x
  3. Step 3: Cross multiply
    820.11x = 1,230.12 × 560.61
  4. Step 4: Simplify right side
    820.11x = 689,617.57
  5. Step 5: Solve for x
    x = 689,617.57/820.11
  6. Step 6: Final answer
    x = 840.88

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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.