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Finding the Fourth Proportional to 901.63, 1,243.20 and 768.61

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Solution

The fourth proportional to 901.63, 1,243.20 and 768.61 is: 1,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.63 : 1,243.20 = 768.61 : x
  2. Step 2: Convert to fraction form
    901.63/1,243.20 = 768.61/x
  3. Step 3: Cross multiply
    901.63x = 1,243.20 × 768.61
  4. Step 4: Simplify right side
    901.63x = 955,535.95
  5. Step 5: Solve for x
    x = 955,535.95/901.63
  6. Step 6: Final answer
    x = 1,059.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.