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Finding the Fourth Proportional to 956.97, 1,321.11 and 564.12

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Solution

The fourth proportional to 956.97, 1,321.11 and 564.12 is: 778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.97 : 1,321.11 = 564.12 : x
  2. Step 2: Convert to fraction form
    956.97/1,321.11 = 564.12/x
  3. Step 3: Cross multiply
    956.97x = 1,321.11 × 564.12
  4. Step 4: Simplify right side
    956.97x = 745,264.57
  5. Step 5: Solve for x
    x = 745,264.57/956.97
  6. Step 6: Final answer
    x = 778.78

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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.