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Finding the Fourth Proportional to 763.86, 1,145.90 and 301.62

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Solution

The fourth proportional to 763.86, 1,145.90 and 301.62 is: 452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.86 : 1,145.90 = 301.62 : x
  2. Step 2: Convert to fraction form
    763.86/1,145.90 = 301.62/x
  3. Step 3: Cross multiply
    763.86x = 1,145.90 × 301.62
  4. Step 4: Simplify right side
    763.86x = 345,629.71
  5. Step 5: Solve for x
    x = 345,629.71/763.86
  6. Step 6: Final answer
    x = 452.48

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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.