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Finding the Fourth Proportional to 696.13, 1,044.78 and 622.42

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Solution

The fourth proportional to 696.13, 1,044.78 and 622.42 is: 934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.13 : 1,044.78 = 622.42 : x
  2. Step 2: Convert to fraction form
    696.13/1,044.78 = 622.42/x
  3. Step 3: Cross multiply
    696.13x = 1,044.78 × 622.42
  4. Step 4: Simplify right side
    696.13x = 650,291.97
  5. Step 5: Solve for x
    x = 650,291.97/696.13
  6. Step 6: Final answer
    x = 934.15

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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.