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Finding the Fourth Proportional to 967.41, 1,443.65 and 863.58

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Solution

The fourth proportional to 967.41, 1,443.65 and 863.58 is: 1,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.41 : 1,443.65 = 863.58 : x
  2. Step 2: Convert to fraction form
    967.41/1,443.65 = 863.58/x
  3. Step 3: Cross multiply
    967.41x = 1,443.65 × 863.58
  4. Step 4: Simplify right side
    967.41x = 1,246,705.72
  5. Step 5: Solve for x
    x = 1,246,705.72/967.41
  6. Step 6: Final answer
    x = 1,288.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.