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Finding the Fourth Proportional to 1,454.41, 2,006.26 and 865.14

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Solution

The fourth proportional to 1,454.41, 2,006.26 and 865.14 is: 1,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.41 : 2,006.26 = 865.14 : x
  2. Step 2: Convert to fraction form
    1,454.41/2,006.26 = 865.14/x
  3. Step 3: Cross multiply
    1,454.41x = 2,006.26 × 865.14
  4. Step 4: Simplify right side
    1,454.41x = 1,735,695.78
  5. Step 5: Solve for x
    x = 1,735,695.78/1,454.41
  6. Step 6: Final answer
    x = 1,193.40

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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.