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Finding the Fourth Proportional to 763.80, 1,145.34 and 243.69

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Solution

The fourth proportional to 763.80, 1,145.34 and 243.69 is: 365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.80 : 1,145.34 = 243.69 : x
  2. Step 2: Convert to fraction form
    763.80/1,145.34 = 243.69/x
  3. Step 3: Cross multiply
    763.80x = 1,145.34 × 243.69
  4. Step 4: Simplify right side
    763.80x = 279,107.90
  5. Step 5: Solve for x
    x = 279,107.90/763.80
  6. Step 6: Final answer
    x = 365.42

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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.