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Finding the Fourth Proportional to 963.82, 1,329.92 and 632.20

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Solution

The fourth proportional to 963.82, 1,329.92 and 632.20 is: 872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.82 : 1,329.92 = 632.20 : x
  2. Step 2: Convert to fraction form
    963.82/1,329.92 = 632.20/x
  3. Step 3: Cross multiply
    963.82x = 1,329.92 × 632.20
  4. Step 4: Simplify right side
    963.82x = 840,775.42
  5. Step 5: Solve for x
    x = 840,775.42/963.82
  6. Step 6: Final answer
    x = 872.34

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Double scale
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1.5x scale

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.