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Finding the Fourth Proportional to 766.86, 1,150.28 and 401.75

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Solution

The fourth proportional to 766.86, 1,150.28 and 401.75 is: 602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.86 : 1,150.28 = 401.75 : x
  2. Step 2: Convert to fraction form
    766.86/1,150.28 = 401.75/x
  3. Step 3: Cross multiply
    766.86x = 1,150.28 × 401.75
  4. Step 4: Simplify right side
    766.86x = 462,124.99
  5. Step 5: Solve for x
    x = 462,124.99/766.86
  6. Step 6: Final answer
    x = 602.62

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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.