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Finding the Fourth Proportional to 781.34, 1,168.55 and 695.27

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Solution

The fourth proportional to 781.34, 1,168.55 and 695.27 is: 1,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.34 : 1,168.55 = 695.27 : x
  2. Step 2: Convert to fraction form
    781.34/1,168.55 = 695.27/x
  3. Step 3: Cross multiply
    781.34x = 1,168.55 × 695.27
  4. Step 4: Simplify right side
    781.34x = 812,462.42
  5. Step 5: Solve for x
    x = 812,462.42/781.34
  6. Step 6: Final answer
    x = 1,039.84

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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.