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Finding the Fourth Proportional to 1,091.96, 1,637.64 and 781.24

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Solution

The fourth proportional to 1,091.96, 1,637.64 and 781.24 is: 1,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.96 : 1,637.64 = 781.24 : x
  2. Step 2: Convert to fraction form
    1,091.96/1,637.64 = 781.24/x
  3. Step 3: Cross multiply
    1,091.96x = 1,637.64 × 781.24
  4. Step 4: Simplify right side
    1,091.96x = 1,279,389.87
  5. Step 5: Solve for x
    x = 1,279,389.87/1,091.96
  6. Step 6: Final answer
    x = 1,171.65

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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.