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Finding the Fourth Proportional to 717.48, 988.77 and 496.03

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Solution

The fourth proportional to 717.48, 988.77 and 496.03 is: 683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.48 : 988.77 = 496.03 : x
  2. Step 2: Convert to fraction form
    717.48/988.77 = 496.03/x
  3. Step 3: Cross multiply
    717.48x = 988.77 × 496.03
  4. Step 4: Simplify right side
    717.48x = 490,459.58
  5. Step 5: Solve for x
    x = 490,459.58/717.48
  6. Step 6: Final answer
    x = 683.59

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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.