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Finding the Fourth Proportional to 1,765.39, 2,648.08 and 791.49

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Solution

The fourth proportional to 1,765.39, 2,648.08 and 791.49 is: 1,187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.39 : 2,648.08 = 791.49 : x
  2. Step 2: Convert to fraction form
    1,765.39/2,648.08 = 791.49/x
  3. Step 3: Cross multiply
    1,765.39x = 2,648.08 × 791.49
  4. Step 4: Simplify right side
    1,765.39x = 2,095,926.86
  5. Step 5: Solve for x
    x = 2,095,926.86/1,765.39
  6. Step 6: Final answer
    x = 1,187.23

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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.