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Finding the Fourth Proportional to 709.73, 979.52 and 414.98

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Solution

The fourth proportional to 709.73, 979.52 and 414.98 is: 572.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.73 : 979.52 = 414.98 : x
  2. Step 2: Convert to fraction form
    709.73/979.52 = 414.98/x
  3. Step 3: Cross multiply
    709.73x = 979.52 × 414.98
  4. Step 4: Simplify right side
    709.73x = 406,483.42
  5. Step 5: Solve for x
    x = 406,483.42/709.73
  6. Step 6: Final answer
    x = 572.73

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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.