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Finding the Fourth Proportional to 979.13, 1,351.25 and 565.13

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Solution

The fourth proportional to 979.13, 1,351.25 and 565.13 is: 779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.13 : 1,351.25 = 565.13 : x
  2. Step 2: Convert to fraction form
    979.13/1,351.25 = 565.13/x
  3. Step 3: Cross multiply
    979.13x = 1,351.25 × 565.13
  4. Step 4: Simplify right side
    979.13x = 763,626.57
  5. Step 5: Solve for x
    x = 763,626.57/979.13
  6. Step 6: Final answer
    x = 779.91

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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.