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Finding the Fourth Proportional to 907.81, 1,251.96 and 768.29

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Solution

The fourth proportional to 907.81, 1,251.96 and 768.29 is: 1,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.81 : 1,251.96 = 768.29 : x
  2. Step 2: Convert to fraction form
    907.81/1,251.96 = 768.29/x
  3. Step 3: Cross multiply
    907.81x = 1,251.96 × 768.29
  4. Step 4: Simplify right side
    907.81x = 961,859.21
  5. Step 5: Solve for x
    x = 961,859.21/907.81
  6. Step 6: Final answer
    x = 1,059.54

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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.