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Finding the Fourth Proportional to 662.52, 994.23 and 657.39

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Solution

The fourth proportional to 662.52, 994.23 and 657.39 is: 986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.52 : 994.23 = 657.39 : x
  2. Step 2: Convert to fraction form
    662.52/994.23 = 657.39/x
  3. Step 3: Cross multiply
    662.52x = 994.23 × 657.39
  4. Step 4: Simplify right side
    662.52x = 653,596.86
  5. Step 5: Solve for x
    x = 653,596.86/662.52
  6. Step 6: Final answer
    x = 986.53

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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.