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Finding the Fourth Proportional to 709.49, 979.16 and 414.85

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Solution

The fourth proportional to 709.49, 979.16 and 414.85 is: 572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.49 : 979.16 = 414.85 : x
  2. Step 2: Convert to fraction form
    709.49/979.16 = 414.85/x
  3. Step 3: Cross multiply
    709.49x = 979.16 × 414.85
  4. Step 4: Simplify right side
    709.49x = 406,204.53
  5. Step 5: Solve for x
    x = 406,204.53/709.49
  6. Step 6: Final answer
    x = 572.53

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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.