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Finding the Fourth Proportional to 997.92, 1,377.54 and 643.95

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Solution

The fourth proportional to 997.92, 1,377.54 and 643.95 is: 888.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.92 : 1,377.54 = 643.95 : x
  2. Step 2: Convert to fraction form
    997.92/1,377.54 = 643.95/x
  3. Step 3: Cross multiply
    997.92x = 1,377.54 × 643.95
  4. Step 4: Simplify right side
    997.92x = 887,066.88
  5. Step 5: Solve for x
    x = 887,066.88/997.92
  6. Step 6: Final answer
    x = 888.92

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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.