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Finding the Fourth Proportional to 1,002.89, 1,384.11 and 560.85

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Solution

The fourth proportional to 1,002.89, 1,384.11 and 560.85 is: 774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.89 : 1,384.11 = 560.85 : x
  2. Step 2: Convert to fraction form
    1,002.89/1,384.11 = 560.85/x
  3. Step 3: Cross multiply
    1,002.89x = 1,384.11 × 560.85
  4. Step 4: Simplify right side
    1,002.89x = 776,278.09
  5. Step 5: Solve for x
    x = 776,278.09/1,002.89
  6. Step 6: Final answer
    x = 774.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.