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Finding the Fourth Proportional to 1,454.19, 2,006.80 and 791.03

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Solution

The fourth proportional to 1,454.19, 2,006.80 and 791.03 is: 1,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.19 : 2,006.80 = 791.03 : x
  2. Step 2: Convert to fraction form
    1,454.19/2,006.80 = 791.03/x
  3. Step 3: Cross multiply
    1,454.19x = 2,006.80 × 791.03
  4. Step 4: Simplify right side
    1,454.19x = 1,587,442.04
  5. Step 5: Solve for x
    x = 1,587,442.04/1,454.19
  6. Step 6: Final answer
    x = 1,091.64

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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.