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Finding the Fourth Proportional to 1,243.80, 1,865.67 and 378.11

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Solution

The fourth proportional to 1,243.80, 1,865.67 and 378.11 is: 567.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.80 : 1,865.67 = 378.11 : x
  2. Step 2: Convert to fraction form
    1,243.80/1,865.67 = 378.11/x
  3. Step 3: Cross multiply
    1,243.80x = 1,865.67 × 378.11
  4. Step 4: Simplify right side
    1,243.80x = 705,419.16
  5. Step 5: Solve for x
    x = 705,419.16/1,243.80
  6. Step 6: Final answer
    x = 567.15

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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.