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Finding the Fourth Proportional to 834.38, 1,250.76 and 314.24

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Solution

The fourth proportional to 834.38, 1,250.76 and 314.24 is: 471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.38 : 1,250.76 = 314.24 : x
  2. Step 2: Convert to fraction form
    834.38/1,250.76 = 314.24/x
  3. Step 3: Cross multiply
    834.38x = 1,250.76 × 314.24
  4. Step 4: Simplify right side
    834.38x = 393,038.82
  5. Step 5: Solve for x
    x = 393,038.82/834.38
  6. Step 6: Final answer
    x = 471.05

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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.