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Finding the Fourth Proportional to 837.78, 1,251.71 and 809.07

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Solution

The fourth proportional to 837.78, 1,251.71 and 809.07 is: 1,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.78 : 1,251.71 = 809.07 : x
  2. Step 2: Convert to fraction form
    837.78/1,251.71 = 809.07/x
  3. Step 3: Cross multiply
    837.78x = 1,251.71 × 809.07
  4. Step 4: Simplify right side
    837.78x = 1,012,721.01
  5. Step 5: Solve for x
    x = 1,012,721.01/837.78
  6. Step 6: Final answer
    x = 1,208.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.