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Finding the Fourth Proportional to 763.76, 1,145.61 and 301.40

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Solution

The fourth proportional to 763.76, 1,145.61 and 301.40 is: 452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.76 : 1,145.61 = 301.40 : x
  2. Step 2: Convert to fraction form
    763.76/1,145.61 = 301.40/x
  3. Step 3: Cross multiply
    763.76x = 1,145.61 × 301.40
  4. Step 4: Simplify right side
    763.76x = 345,286.85
  5. Step 5: Solve for x
    x = 345,286.85/763.76
  6. Step 6: Final answer
    x = 452.09

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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.