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Finding the Fourth Proportional to 862.21, 1,298.38 and 620.43

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Solution

The fourth proportional to 862.21, 1,298.38 and 620.43 is: 934.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.21 : 1,298.38 = 620.43 : x
  2. Step 2: Convert to fraction form
    862.21/1,298.38 = 620.43/x
  3. Step 3: Cross multiply
    862.21x = 1,298.38 × 620.43
  4. Step 4: Simplify right side
    862.21x = 805,553.90
  5. Step 5: Solve for x
    x = 805,553.90/862.21
  6. Step 6: Final answer
    x = 934.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.