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Finding the Fourth Proportional to 709.38, 979.07 and 563.13

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Solution

The fourth proportional to 709.38, 979.07 and 563.13 is: 777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.38 : 979.07 = 563.13 : x
  2. Step 2: Convert to fraction form
    709.38/979.07 = 563.13/x
  3. Step 3: Cross multiply
    709.38x = 979.07 × 563.13
  4. Step 4: Simplify right side
    709.38x = 551,340.87
  5. Step 5: Solve for x
    x = 551,340.87/709.38
  6. Step 6: Final answer
    x = 777.22

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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.