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Finding the Fourth Proportional to 1,002.85, 1,383.92 and 560.77

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Solution

The fourth proportional to 1,002.85, 1,383.92 and 560.77 is: 773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.85 : 1,383.92 = 560.77 : x
  2. Step 2: Convert to fraction form
    1,002.85/1,383.92 = 560.77/x
  3. Step 3: Cross multiply
    1,002.85x = 1,383.92 × 560.77
  4. Step 4: Simplify right side
    1,002.85x = 776,058.01
  5. Step 5: Solve for x
    x = 776,058.01/1,002.85
  6. Step 6: Final answer
    x = 773.85

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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.