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Finding the Fourth Proportional to 709.47, 979.17 and 414.69

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Solution

The fourth proportional to 709.47, 979.17 and 414.69 is: 572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.47 : 979.17 = 414.69 : x
  2. Step 2: Convert to fraction form
    709.47/979.17 = 414.69/x
  3. Step 3: Cross multiply
    709.47x = 979.17 × 414.69
  4. Step 4: Simplify right side
    709.47x = 406,052.01
  5. Step 5: Solve for x
    x = 406,052.01/709.47
  6. Step 6: Final answer
    x = 572.33

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1.5x scale

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.