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Finding the Fourth Proportional to 709.57, 979.07 and 414.78

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Solution

The fourth proportional to 709.57, 979.07 and 414.78 is: 572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.57 : 979.07 = 414.78 : x
  2. Step 2: Convert to fraction form
    709.57/979.07 = 414.78/x
  3. Step 3: Cross multiply
    709.57x = 979.07 × 414.78
  4. Step 4: Simplify right side
    709.57x = 406,091.69
  5. Step 5: Solve for x
    x = 406,091.69/709.57
  6. Step 6: Final answer
    x = 572.31

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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.