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Finding the Fourth Proportional to 834.68, 1,251.30 and 401.60

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Solution

The fourth proportional to 834.68, 1,251.30 and 401.60 is: 602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.68 : 1,251.30 = 401.60 : x
  2. Step 2: Convert to fraction form
    834.68/1,251.30 = 401.60/x
  3. Step 3: Cross multiply
    834.68x = 1,251.30 × 401.60
  4. Step 4: Simplify right side
    834.68x = 502,522.08
  5. Step 5: Solve for x
    x = 502,522.08/834.68
  6. Step 6: Final answer
    x = 602.05

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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.