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Finding the Fourth Proportional to 834.74, 1,251.79 and 286.82

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Solution

The fourth proportional to 834.74, 1,251.79 and 286.82 is: 430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.74 : 1,251.79 = 286.82 : x
  2. Step 2: Convert to fraction form
    834.74/1,251.79 = 286.82/x
  3. Step 3: Cross multiply
    834.74x = 1,251.79 × 286.82
  4. Step 4: Simplify right side
    834.74x = 359,038.41
  5. Step 5: Solve for x
    x = 359,038.41/834.74
  6. Step 6: Final answer
    x = 430.12

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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.