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Finding the Fourth Proportional to 709.88, 979.36 and 523.81

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Solution

The fourth proportional to 709.88, 979.36 and 523.81 is: 722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.88 : 979.36 = 523.81 : x
  2. Step 2: Convert to fraction form
    709.88/979.36 = 523.81/x
  3. Step 3: Cross multiply
    709.88x = 979.36 × 523.81
  4. Step 4: Simplify right side
    709.88x = 512,998.56
  5. Step 5: Solve for x
    x = 512,998.56/709.88
  6. Step 6: Final answer
    x = 722.66

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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.