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Finding the Fourth Proportional to 996.98, 1,375.04 and 642.95

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Solution

The fourth proportional to 996.98, 1,375.04 and 642.95 is: 886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.98 : 1,375.04 = 642.95 : x
  2. Step 2: Convert to fraction form
    996.98/1,375.04 = 642.95/x
  3. Step 3: Cross multiply
    996.98x = 1,375.04 × 642.95
  4. Step 4: Simplify right side
    996.98x = 884,081.86
  5. Step 5: Solve for x
    x = 884,081.86/996.98
  6. Step 6: Final answer
    x = 886.76

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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.