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Finding the Fourth Proportional to 767.12, 1,150.78 and 247.00

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Solution

The fourth proportional to 767.12, 1,150.78 and 247.00 is: 370.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.12 : 1,150.78 = 247.00 : x
  2. Step 2: Convert to fraction form
    767.12/1,150.78 = 247.00/x
  3. Step 3: Cross multiply
    767.12x = 1,150.78 × 247.00
  4. Step 4: Simplify right side
    767.12x = 284,236.91
  5. Step 5: Solve for x
    x = 284,236.91/767.12
  6. Step 6: Final answer
    x = 370.53

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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.