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Finding the Fourth Proportional to 834.73, 1,251.64 and 307.42

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Solution

The fourth proportional to 834.73, 1,251.64 and 307.42 is: 460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.73 : 1,251.64 = 307.42 : x
  2. Step 2: Convert to fraction form
    834.73/1,251.64 = 307.42/x
  3. Step 3: Cross multiply
    834.73x = 1,251.64 × 307.42
  4. Step 4: Simplify right side
    834.73x = 384,779.17
  5. Step 5: Solve for x
    x = 384,779.17/834.73
  6. Step 6: Final answer
    x = 460.96

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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.