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Finding the Fourth Proportional to 767.06, 1,150.66 and 247.07

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Solution

The fourth proportional to 767.06, 1,150.66 and 247.07 is: 370.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.06 : 1,150.66 = 247.07 : x
  2. Step 2: Convert to fraction form
    767.06/1,150.66 = 247.07/x
  3. Step 3: Cross multiply
    767.06x = 1,150.66 × 247.07
  4. Step 4: Simplify right side
    767.06x = 284,293.57
  5. Step 5: Solve for x
    x = 284,293.57/767.06
  6. Step 6: Final answer
    x = 370.63

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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.