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Finding the Fourth Proportional to 996.58, 1,375.53 and 642.74

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Solution

The fourth proportional to 996.58, 1,375.53 and 642.74 is: 887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.58 : 1,375.53 = 642.74 : x
  2. Step 2: Convert to fraction form
    996.58/1,375.53 = 642.74/x
  3. Step 3: Cross multiply
    996.58x = 1,375.53 × 642.74
  4. Step 4: Simplify right side
    996.58x = 884,108.15
  5. Step 5: Solve for x
    x = 884,108.15/996.58
  6. Step 6: Final answer
    x = 887.14

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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.