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Finding the Fourth Proportional to 963, 1,443.72 and 886.12

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Solution

The fourth proportional to 963, 1,443.72 and 886.12 is: 1,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    963 : 1,443.72 = 886.12 : x
  2. Step 2: Convert to fraction form
    963/1,443.72 = 886.12/x
  3. Step 3: Cross multiply
    963x = 1,443.72 × 886.12
  4. Step 4: Simplify right side
    963x = 1,279,309.17
  5. Step 5: Solve for x
    x = 1,279,309.17/963
  6. Step 6: Final answer
    x = 1,328.46

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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.