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Finding the Fourth Proportional to 1,002.41, 1,383.36 and 560.31

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Solution

The fourth proportional to 1,002.41, 1,383.36 and 560.31 is: 773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.41 : 1,383.36 = 560.31 : x
  2. Step 2: Convert to fraction form
    1,002.41/1,383.36 = 560.31/x
  3. Step 3: Cross multiply
    1,002.41x = 1,383.36 × 560.31
  4. Step 4: Simplify right side
    1,002.41x = 775,110.69
  5. Step 5: Solve for x
    x = 775,110.69/1,002.41
  6. Step 6: Final answer
    x = 773.25

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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.