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Finding the Fourth Proportional to 834.64, 1,252 and 314.60

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Solution

The fourth proportional to 834.64, 1,252 and 314.60 is: 471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.64 : 1,252 = 314.60 : x
  2. Step 2: Convert to fraction form
    834.64/1,252 = 314.60/x
  3. Step 3: Cross multiply
    834.64x = 1,252 × 314.60
  4. Step 4: Simplify right side
    834.64x = 393,879.20
  5. Step 5: Solve for x
    x = 393,879.20/834.64
  6. Step 6: Final answer
    x = 471.92

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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.