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Finding the Fourth Proportional to 1,023.41, 1,532.43 and 560.22

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Solution

The fourth proportional to 1,023.41, 1,532.43 and 560.22 is: 838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.41 : 1,532.43 = 560.22 : x
  2. Step 2: Convert to fraction form
    1,023.41/1,532.43 = 560.22/x
  3. Step 3: Cross multiply
    1,023.41x = 1,532.43 × 560.22
  4. Step 4: Simplify right side
    1,023.41x = 858,497.93
  5. Step 5: Solve for x
    x = 858,497.93/1,023.41
  6. Step 6: Final answer
    x = 838.86

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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.