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Finding the Fourth Proportional to 832.49, 1,149.94 and 638.40

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Solution

The fourth proportional to 832.49, 1,149.94 and 638.40 is: 881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.49 : 1,149.94 = 638.40 : x
  2. Step 2: Convert to fraction form
    832.49/1,149.94 = 638.40/x
  3. Step 3: Cross multiply
    832.49x = 1,149.94 × 638.40
  4. Step 4: Simplify right side
    832.49x = 734,121.70
  5. Step 5: Solve for x
    x = 734,121.70/832.49
  6. Step 6: Final answer
    x = 881.84

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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.