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Finding the Fourth Proportional to 763.39, 1,145.38 and 324.74

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Solution

The fourth proportional to 763.39, 1,145.38 and 324.74 is: 487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.39 : 1,145.38 = 324.74 : x
  2. Step 2: Convert to fraction form
    763.39/1,145.38 = 324.74/x
  3. Step 3: Cross multiply
    763.39x = 1,145.38 × 324.74
  4. Step 4: Simplify right side
    763.39x = 371,944.97
  5. Step 5: Solve for x
    x = 371,944.97/763.39
  6. Step 6: Final answer
    x = 487.23

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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.