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Finding the Fourth Proportional to 1,002.42, 1,383.48 and 560.43

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Solution

The fourth proportional to 1,002.42, 1,383.48 and 560.43 is: 773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.42 : 1,383.48 = 560.43 : x
  2. Step 2: Convert to fraction form
    1,002.42/1,383.48 = 560.43/x
  3. Step 3: Cross multiply
    1,002.42x = 1,383.48 × 560.43
  4. Step 4: Simplify right side
    1,002.42x = 775,343.70
  5. Step 5: Solve for x
    x = 775,343.70/1,002.42
  6. Step 6: Final answer
    x = 773.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.