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Finding the Fourth Proportional to 715.71, 988.08 and 491.97

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Solution

The fourth proportional to 715.71, 988.08 and 491.97 is: 679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.71 : 988.08 = 491.97 : x
  2. Step 2: Convert to fraction form
    715.71/988.08 = 491.97/x
  3. Step 3: Cross multiply
    715.71x = 988.08 × 491.97
  4. Step 4: Simplify right side
    715.71x = 486,105.72
  5. Step 5: Solve for x
    x = 486,105.72/715.71
  6. Step 6: Final answer
    x = 679.19

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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.