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Finding the Fourth Proportional to 1,463.38, 2,193.82 and 641.04

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Solution

The fourth proportional to 1,463.38, 2,193.82 and 641.04 is: 961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.38 : 2,193.82 = 641.04 : x
  2. Step 2: Convert to fraction form
    1,463.38/2,193.82 = 641.04/x
  3. Step 3: Cross multiply
    1,463.38x = 2,193.82 × 641.04
  4. Step 4: Simplify right side
    1,463.38x = 1,406,326.37
  5. Step 5: Solve for x
    x = 1,406,326.37/1,463.38
  6. Step 6: Final answer
    x = 961.01

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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.