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Finding the Fourth Proportional to 834.33, 1,252.21 and 341.00

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Solution

The fourth proportional to 834.33, 1,252.21 and 341.00 is: 511.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.33 : 1,252.21 = 341.00 : x
  2. Step 2: Convert to fraction form
    834.33/1,252.21 = 341.00/x
  3. Step 3: Cross multiply
    834.33x = 1,252.21 × 341.00
  4. Step 4: Simplify right side
    834.33x = 427,000.07
  5. Step 5: Solve for x
    x = 427,000.07/834.33
  6. Step 6: Final answer
    x = 511.79

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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.