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Finding the Fourth Proportional to 868.36, 1,299.91 and 560.44

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Solution

The fourth proportional to 868.36, 1,299.91 and 560.44 is: 838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.36 : 1,299.91 = 560.44 : x
  2. Step 2: Convert to fraction form
    868.36/1,299.91 = 560.44/x
  3. Step 3: Cross multiply
    868.36x = 1,299.91 × 560.44
  4. Step 4: Simplify right side
    868.36x = 728,521.56
  5. Step 5: Solve for x
    x = 728,521.56/868.36
  6. Step 6: Final answer
    x = 838.96

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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.