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Finding the Fourth Proportional to 781.25, 1,168.41 and 695.18

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Solution

The fourth proportional to 781.25, 1,168.41 and 695.18 is: 1,039.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.25 : 1,168.41 = 695.18 : x
  2. Step 2: Convert to fraction form
    781.25/1,168.41 = 695.18/x
  3. Step 3: Cross multiply
    781.25x = 1,168.41 × 695.18
  4. Step 4: Simplify right side
    781.25x = 812,249.42
  5. Step 5: Solve for x
    x = 812,249.42/781.25
  6. Step 6: Final answer
    x = 1,039.69

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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.