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Finding the Fourth Proportional to 709.61, 979.04 and 414.86

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Solution

The fourth proportional to 709.61, 979.04 and 414.86 is: 572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.61 : 979.04 = 414.86 : x
  2. Step 2: Convert to fraction form
    709.61/979.04 = 414.86/x
  3. Step 3: Cross multiply
    709.61x = 979.04 × 414.86
  4. Step 4: Simplify right side
    709.61x = 406,168.02
  5. Step 5: Solve for x
    x = 406,168.02/709.61
  6. Step 6: Final answer
    x = 572.39

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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.