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Finding the Fourth Proportional to 709.53, 979.29 and 414.83

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Solution

The fourth proportional to 709.53, 979.29 and 414.83 is: 572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.53 : 979.29 = 414.83 : x
  2. Step 2: Convert to fraction form
    709.53/979.29 = 414.83/x
  3. Step 3: Cross multiply
    709.53x = 979.29 × 414.83
  4. Step 4: Simplify right side
    709.53x = 406,233.97
  5. Step 5: Solve for x
    x = 406,233.97/709.53
  6. Step 6: Final answer
    x = 572.54

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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.