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Finding the Fourth Proportional to 869.70, 1,301.96 and 560.64

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Solution

The fourth proportional to 869.70, 1,301.96 and 560.64 is: 839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.70 : 1,301.96 = 560.64 : x
  2. Step 2: Convert to fraction form
    869.70/1,301.96 = 560.64/x
  3. Step 3: Cross multiply
    869.70x = 1,301.96 × 560.64
  4. Step 4: Simplify right side
    869.70x = 729,930.85
  5. Step 5: Solve for x
    x = 729,930.85/869.70
  6. Step 6: Final answer
    x = 839.29

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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.