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Finding the Fourth Proportional to 834.52, 1,252.01 and 286.75

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Solution

The fourth proportional to 834.52, 1,252.01 and 286.75 is: 430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.52 : 1,252.01 = 286.75 : x
  2. Step 2: Convert to fraction form
    834.52/1,252.01 = 286.75/x
  3. Step 3: Cross multiply
    834.52x = 1,252.01 × 286.75
  4. Step 4: Simplify right side
    834.52x = 359,007.61
  5. Step 5: Solve for x
    x = 359,007.61/834.52
  6. Step 6: Final answer
    x = 430.20

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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.