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Finding the Fourth Proportional to 908.76, 1,251.25 and 761.07

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Solution

The fourth proportional to 908.76, 1,251.25 and 761.07 is: 1,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.76 : 1,251.25 = 761.07 : x
  2. Step 2: Convert to fraction form
    908.76/1,251.25 = 761.07/x
  3. Step 3: Cross multiply
    908.76x = 1,251.25 × 761.07
  4. Step 4: Simplify right side
    908.76x = 952,288.84
  5. Step 5: Solve for x
    x = 952,288.84/908.76
  6. Step 6: Final answer
    x = 1,047.90

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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.