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Finding the Fourth Proportional to 863.66, 1,291.55 and 644.44

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Solution

The fourth proportional to 863.66, 1,291.55 and 644.44 is: 963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.66 : 1,291.55 = 644.44 : x
  2. Step 2: Convert to fraction form
    863.66/1,291.55 = 644.44/x
  3. Step 3: Cross multiply
    863.66x = 1,291.55 × 644.44
  4. Step 4: Simplify right side
    863.66x = 832,326.48
  5. Step 5: Solve for x
    x = 832,326.48/863.66
  6. Step 6: Final answer
    x = 963.72

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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.