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Finding the Fourth Proportional to 1,002.55, 1,383.52 and 560.45

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Solution

The fourth proportional to 1,002.55, 1,383.52 and 560.45 is: 773.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.55 : 1,383.52 = 560.45 : x
  2. Step 2: Convert to fraction form
    1,002.55/1,383.52 = 560.45/x
  3. Step 3: Cross multiply
    1,002.55x = 1,383.52 × 560.45
  4. Step 4: Simplify right side
    1,002.55x = 775,398.44
  5. Step 5: Solve for x
    x = 775,398.44/1,002.55
  6. Step 6: Final answer
    x = 773.43

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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.