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Finding the Fourth Proportional to 992.75, 1,372.64 and 869.76

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Solution

The fourth proportional to 992.75, 1,372.64 and 869.76 is: 1,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.75 : 1,372.64 = 869.76 : x
  2. Step 2: Convert to fraction form
    992.75/1,372.64 = 869.76/x
  3. Step 3: Cross multiply
    992.75x = 1,372.64 × 869.76
  4. Step 4: Simplify right side
    992.75x = 1,193,863.02
  5. Step 5: Solve for x
    x = 1,193,863.02/992.75
  6. Step 6: Final answer
    x = 1,202.59

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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.