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Finding the Fourth Proportional to 696.26, 1,044.42 and 345.18

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Solution

The fourth proportional to 696.26, 1,044.42 and 345.18 is: 517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.26 : 1,044.42 = 345.18 : x
  2. Step 2: Convert to fraction form
    696.26/1,044.42 = 345.18/x
  3. Step 3: Cross multiply
    696.26x = 1,044.42 × 345.18
  4. Step 4: Simplify right side
    696.26x = 360,512.90
  5. Step 5: Solve for x
    x = 360,512.90/696.26
  6. Step 6: Final answer
    x = 517.78

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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.