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Finding the Fourth Proportional to 717.67, 988.30 and 496.24

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Solution

The fourth proportional to 717.67, 988.30 and 496.24 is: 683.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.67 : 988.30 = 496.24 : x
  2. Step 2: Convert to fraction form
    717.67/988.30 = 496.24/x
  3. Step 3: Cross multiply
    717.67x = 988.30 × 496.24
  4. Step 4: Simplify right side
    717.67x = 490,432.14
  5. Step 5: Solve for x
    x = 490,432.14/717.67
  6. Step 6: Final answer
    x = 683.37

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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.