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Finding the Fourth Proportional to 834.95, 1,252.17 and 314.57

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Solution

The fourth proportional to 834.95, 1,252.17 and 314.57 is: 471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.95 : 1,252.17 = 314.57 : x
  2. Step 2: Convert to fraction form
    834.95/1,252.17 = 314.57/x
  3. Step 3: Cross multiply
    834.95x = 1,252.17 × 314.57
  4. Step 4: Simplify right side
    834.95x = 393,895.12
  5. Step 5: Solve for x
    x = 393,895.12/834.95
  6. Step 6: Final answer
    x = 471.76

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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.