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Finding the Fourth Proportional to 1,002.22, 1,383.08 and 560.17

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Solution

The fourth proportional to 1,002.22, 1,383.08 and 560.17 is: 773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.22 : 1,383.08 = 560.17 : x
  2. Step 2: Convert to fraction form
    1,002.22/1,383.08 = 560.17/x
  3. Step 3: Cross multiply
    1,002.22x = 1,383.08 × 560.17
  4. Step 4: Simplify right side
    1,002.22x = 774,755.77
  5. Step 5: Solve for x
    x = 774,755.77/1,002.22
  6. Step 6: Final answer
    x = 773.04

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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.