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Finding the Fourth Proportional to 781.89, 1,079.27 and 450.44

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Solution

The fourth proportional to 781.89, 1,079.27 and 450.44 is: 621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.89 : 1,079.27 = 450.44 : x
  2. Step 2: Convert to fraction form
    781.89/1,079.27 = 450.44/x
  3. Step 3: Cross multiply
    781.89x = 1,079.27 × 450.44
  4. Step 4: Simplify right side
    781.89x = 486,153.07
  5. Step 5: Solve for x
    x = 486,153.07/781.89
  6. Step 6: Final answer
    x = 621.77

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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.