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Finding the Fourth Proportional to 721.08, 1,082.82 and 560.07

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Solution

The fourth proportional to 721.08, 1,082.82 and 560.07 is: 841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.08 : 1,082.82 = 560.07 : x
  2. Step 2: Convert to fraction form
    721.08/1,082.82 = 560.07/x
  3. Step 3: Cross multiply
    721.08x = 1,082.82 × 560.07
  4. Step 4: Simplify right side
    721.08x = 606,455.00
  5. Step 5: Solve for x
    x = 606,455.00/721.08
  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.