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Finding the Fourth Proportional to 1,454.81, 2,007.80 and 865.34

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Solution

The fourth proportional to 1,454.81, 2,007.80 and 865.34 is: 1,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.81 : 2,007.80 = 865.34 : x
  2. Step 2: Convert to fraction form
    1,454.81/2,007.80 = 865.34/x
  3. Step 3: Cross multiply
    1,454.81x = 2,007.80 × 865.34
  4. Step 4: Simplify right side
    1,454.81x = 1,737,426.80
  5. Step 5: Solve for x
    x = 1,737,426.80/1,454.81
  6. Step 6: Final answer
    x = 1,194.27

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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.