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Finding the Fourth Proportional to 711.33, 980.67 and 689.79

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Solution

The fourth proportional to 711.33, 980.67 and 689.79 is: 950.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.33 : 980.67 = 689.79 : x
  2. Step 2: Convert to fraction form
    711.33/980.67 = 689.79/x
  3. Step 3: Cross multiply
    711.33x = 980.67 × 689.79
  4. Step 4: Simplify right side
    711.33x = 676,456.36
  5. Step 5: Solve for x
    x = 676,456.36/711.33
  6. Step 6: Final answer
    x = 950.97

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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.