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Finding the Fourth Proportional to 1,458.78, 2,189.49 and 765.90

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Solution

The fourth proportional to 1,458.78, 2,189.49 and 765.90 is: 1,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.78 : 2,189.49 = 765.90 : x
  2. Step 2: Convert to fraction form
    1,458.78/2,189.49 = 765.90/x
  3. Step 3: Cross multiply
    1,458.78x = 2,189.49 × 765.90
  4. Step 4: Simplify right side
    1,458.78x = 1,676,930.39
  5. Step 5: Solve for x
    x = 1,676,930.39/1,458.78
  6. Step 6: Final answer
    x = 1,149.54

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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.