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Finding the Fourth Proportional to 767.86, 1,151.90 and 247.74

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Solution

The fourth proportional to 767.86, 1,151.90 and 247.74 is: 371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.86 : 1,151.90 = 247.74 : x
  2. Step 2: Convert to fraction form
    767.86/1,151.90 = 247.74/x
  3. Step 3: Cross multiply
    767.86x = 1,151.90 × 247.74
  4. Step 4: Simplify right side
    767.86x = 285,371.71
  5. Step 5: Solve for x
    x = 285,371.71/767.86
  6. Step 6: Final answer
    x = 371.65

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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.