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Finding the Fourth Proportional to 657.90, 998.28 and 657.90

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Solution

The fourth proportional to 657.90, 998.28 and 657.90 is: 998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.90 : 998.28 = 657.90 : x
  2. Step 2: Convert to fraction form
    657.90/998.28 = 657.90/x
  3. Step 3: Cross multiply
    657.90x = 998.28 × 657.90
  4. Step 4: Simplify right side
    657.90x = 656,768.41
  5. Step 5: Solve for x
    x = 656,768.41/657.90
  6. Step 6: Final answer
    x = 998.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.