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Finding the Fourth Proportional to 862.41, 1,294.28 and 696.03

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Solution

The fourth proportional to 862.41, 1,294.28 and 696.03 is: 1,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.41 : 1,294.28 = 696.03 : x
  2. Step 2: Convert to fraction form
    862.41/1,294.28 = 696.03/x
  3. Step 3: Cross multiply
    862.41x = 1,294.28 × 696.03
  4. Step 4: Simplify right side
    862.41x = 900,851.98
  5. Step 5: Solve for x
    x = 900,851.98/862.41
  6. Step 6: Final answer
    x = 1,044.57

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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.