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Finding the Fourth Proportional to 963.12, 1,328.49 and 668.28

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Solution

The fourth proportional to 963.12, 1,328.49 and 668.28 is: 921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.12 : 1,328.49 = 668.28 : x
  2. Step 2: Convert to fraction form
    963.12/1,328.49 = 668.28/x
  3. Step 3: Cross multiply
    963.12x = 1,328.49 × 668.28
  4. Step 4: Simplify right side
    963.12x = 887,803.30
  5. Step 5: Solve for x
    x = 887,803.30/963.12
  6. Step 6: Final answer
    x = 921.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.