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Finding the Fourth Proportional to 834.94, 1,252.88 and 450.19

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Solution

The fourth proportional to 834.94, 1,252.88 and 450.19 is: 675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.94 : 1,252.88 = 450.19 : x
  2. Step 2: Convert to fraction form
    834.94/1,252.88 = 450.19/x
  3. Step 3: Cross multiply
    834.94x = 1,252.88 × 450.19
  4. Step 4: Simplify right side
    834.94x = 564,032.04
  5. Step 5: Solve for x
    x = 564,032.04/834.94
  6. Step 6: Final answer
    x = 675.54

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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.