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Finding the Fourth Proportional to 1,375.11, 2,061.75 and 450.34

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Solution

The fourth proportional to 1,375.11, 2,061.75 and 450.34 is: 675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.11 : 2,061.75 = 450.34 : x
  2. Step 2: Convert to fraction form
    1,375.11/2,061.75 = 450.34/x
  3. Step 3: Cross multiply
    1,375.11x = 2,061.75 × 450.34
  4. Step 4: Simplify right side
    1,375.11x = 928,486.24
  5. Step 5: Solve for x
    x = 928,486.24/1,375.11
  6. Step 6: Final answer
    x = 675.21

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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.