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Finding the Fourth Proportional to 709.96, 979.48 and 523.90

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Solution

The fourth proportional to 709.96, 979.48 and 523.90 is: 722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.96 : 979.48 = 523.90 : x
  2. Step 2: Convert to fraction form
    709.96/979.48 = 523.90/x
  3. Step 3: Cross multiply
    709.96x = 979.48 × 523.90
  4. Step 4: Simplify right side
    709.96x = 513,146.67
  5. Step 5: Solve for x
    x = 513,146.67/709.96
  6. Step 6: Final answer
    x = 722.78

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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.