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Finding the Fourth Proportional to 962.19, 1,324.62 and 863.73

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Solution

The fourth proportional to 962.19, 1,324.62 and 863.73 is: 1,189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.19 : 1,324.62 = 863.73 : x
  2. Step 2: Convert to fraction form
    962.19/1,324.62 = 863.73/x
  3. Step 3: Cross multiply
    962.19x = 1,324.62 × 863.73
  4. Step 4: Simplify right side
    962.19x = 1,144,114.03
  5. Step 5: Solve for x
    x = 1,144,114.03/962.19
  6. Step 6: Final answer
    x = 1,189.07

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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.