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Finding the Fourth Proportional to 1,691.20, 2,537.41 and 766.05

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Solution

The fourth proportional to 1,691.20, 2,537.41 and 766.05 is: 1,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.20 : 2,537.41 = 766.05 : x
  2. Step 2: Convert to fraction form
    1,691.20/2,537.41 = 766.05/x
  3. Step 3: Cross multiply
    1,691.20x = 2,537.41 × 766.05
  4. Step 4: Simplify right side
    1,691.20x = 1,943,782.93
  5. Step 5: Solve for x
    x = 1,943,782.93/1,691.20
  6. Step 6: Final answer
    x = 1,149.35

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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.