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Finding the Fourth Proportional to 781.85, 1,079.07 and 467.36

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Solution

The fourth proportional to 781.85, 1,079.07 and 467.36 is: 645.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.85 : 1,079.07 = 467.36 : x
  2. Step 2: Convert to fraction form
    781.85/1,079.07 = 467.36/x
  3. Step 3: Cross multiply
    781.85x = 1,079.07 × 467.36
  4. Step 4: Simplify right side
    781.85x = 504,310.65
  5. Step 5: Solve for x
    x = 504,310.65/781.85
  6. Step 6: Final answer
    x = 645.02

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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.