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Finding the Fourth Proportional to 913.61, 1,371.42 and 680.19

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Solution

The fourth proportional to 913.61, 1,371.42 and 680.19 is: 1,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.61 : 1,371.42 = 680.19 : x
  2. Step 2: Convert to fraction form
    913.61/1,371.42 = 680.19/x
  3. Step 3: Cross multiply
    913.61x = 1,371.42 × 680.19
  4. Step 4: Simplify right side
    913.61x = 932,826.17
  5. Step 5: Solve for x
    x = 932,826.17/913.61
  6. Step 6: Final answer
    x = 1,021.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.