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Finding the Fourth Proportional to 1,023.88, 1,532.36 and 560.42

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Solution

The fourth proportional to 1,023.88, 1,532.36 and 560.42 is: 838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.88 : 1,532.36 = 560.42 : x
  2. Step 2: Convert to fraction form
    1,023.88/1,532.36 = 560.42/x
  3. Step 3: Cross multiply
    1,023.88x = 1,532.36 × 560.42
  4. Step 4: Simplify right side
    1,023.88x = 858,765.19
  5. Step 5: Solve for x
    x = 858,765.19/1,023.88
  6. Step 6: Final answer
    x = 838.74

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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.