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Finding the Fourth Proportional to 1,002.72, 1,383.68 and 560.65

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Solution

The fourth proportional to 1,002.72, 1,383.68 and 560.65 is: 773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.72 : 1,383.68 = 560.65 : x
  2. Step 2: Convert to fraction form
    1,002.72/1,383.68 = 560.65/x
  3. Step 3: Cross multiply
    1,002.72x = 1,383.68 × 560.65
  4. Step 4: Simplify right side
    1,002.72x = 775,760.19
  5. Step 5: Solve for x
    x = 775,760.19/1,002.72
  6. Step 6: Final answer
    x = 773.66

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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.