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Finding the Fourth Proportional to 1,274.95, 1,908.78 and 834.76

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Solution

The fourth proportional to 1,274.95, 1,908.78 and 834.76 is: 1,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.95 : 1,908.78 = 834.76 : x
  2. Step 2: Convert to fraction form
    1,274.95/1,908.78 = 834.76/x
  3. Step 3: Cross multiply
    1,274.95x = 1,908.78 × 834.76
  4. Step 4: Simplify right side
    1,274.95x = 1,593,373.19
  5. Step 5: Solve for x
    x = 1,593,373.19/1,274.95
  6. Step 6: Final answer
    x = 1,249.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.