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Finding the Fourth Proportional to 1,178.31, 1,767.15 and 560.79

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Solution

The fourth proportional to 1,178.31, 1,767.15 and 560.79 is: 841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.31 : 1,767.15 = 560.79 : x
  2. Step 2: Convert to fraction form
    1,178.31/1,767.15 = 560.79/x
  3. Step 3: Cross multiply
    1,178.31x = 1,767.15 × 560.79
  4. Step 4: Simplify right side
    1,178.31x = 991,000.05
  5. Step 5: Solve for x
    x = 991,000.05/1,178.31
  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.