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Finding the Fourth Proportional to 908.78, 1,255.08 and 713.78

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Solution

The fourth proportional to 908.78, 1,255.08 and 713.78 is: 985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.78 : 1,255.08 = 713.78 : x
  2. Step 2: Convert to fraction form
    908.78/1,255.08 = 713.78/x
  3. Step 3: Cross multiply
    908.78x = 1,255.08 × 713.78
  4. Step 4: Simplify right side
    908.78x = 895,844.73
  5. Step 5: Solve for x
    x = 895,844.73/908.78
  6. Step 6: Final answer
    x = 985.77

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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.