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Finding the Fourth Proportional to 993.59, 1,371.56 and 679.92

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Solution

The fourth proportional to 993.59, 1,371.56 and 679.92 is: 938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.59 : 1,371.56 = 679.92 : x
  2. Step 2: Convert to fraction form
    993.59/1,371.56 = 679.92/x
  3. Step 3: Cross multiply
    993.59x = 1,371.56 × 679.92
  4. Step 4: Simplify right side
    993.59x = 932,551.08
  5. Step 5: Solve for x
    x = 932,551.08/993.59
  6. Step 6: Final answer
    x = 938.57

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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.