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Finding the Fourth Proportional to 709.92, 979.82 and 531.36

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Solution

The fourth proportional to 709.92, 979.82 and 531.36 is: 733.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.92 : 979.82 = 531.36 : x
  2. Step 2: Convert to fraction form
    709.92/979.82 = 531.36/x
  3. Step 3: Cross multiply
    709.92x = 979.82 × 531.36
  4. Step 4: Simplify right side
    709.92x = 520,634.50
  5. Step 5: Solve for x
    x = 520,634.50/709.92
  6. Step 6: Final answer
    x = 733.37

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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.