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Finding the Fourth Proportional to 1,381.24, 2,072.37 and 641.20

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Solution

The fourth proportional to 1,381.24, 2,072.37 and 641.20 is: 962.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.24 : 2,072.37 = 641.20 : x
  2. Step 2: Convert to fraction form
    1,381.24/2,072.37 = 641.20/x
  3. Step 3: Cross multiply
    1,381.24x = 2,072.37 × 641.20
  4. Step 4: Simplify right side
    1,381.24x = 1,328,803.64
  5. Step 5: Solve for x
    x = 1,328,803.64/1,381.24
  6. Step 6: Final answer
    x = 962.04

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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.