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Finding the Fourth Proportional to 663.68, 995.96 and 658.55

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Solution

The fourth proportional to 663.68, 995.96 and 658.55 is: 988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.68 : 995.96 = 658.55 : x
  2. Step 2: Convert to fraction form
    663.68/995.96 = 658.55/x
  3. Step 3: Cross multiply
    663.68x = 995.96 × 658.55
  4. Step 4: Simplify right side
    663.68x = 655,893.59
  5. Step 5: Solve for x
    x = 655,893.59/663.68
  6. Step 6: Final answer
    x = 988.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.