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Finding the Fourth Proportional to 1,291.30, 1,781.97 and 701.83

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Solution

The fourth proportional to 1,291.30, 1,781.97 and 701.83 is: 968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.30 : 1,781.97 = 701.83 : x
  2. Step 2: Convert to fraction form
    1,291.30/1,781.97 = 701.83/x
  3. Step 3: Cross multiply
    1,291.30x = 1,781.97 × 701.83
  4. Step 4: Simplify right side
    1,291.30x = 1,250,640.01
  5. Step 5: Solve for x
    x = 1,250,640.01/1,291.30
  6. Step 6: Final answer
    x = 968.51

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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.