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Finding the Fourth Proportional to 834.40, 1,252.08 and 401.28

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Solution

The fourth proportional to 834.40, 1,252.08 and 401.28 is: 602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.40 : 1,252.08 = 401.28 : x
  2. Step 2: Convert to fraction form
    834.40/1,252.08 = 401.28/x
  3. Step 3: Cross multiply
    834.40x = 1,252.08 × 401.28
  4. Step 4: Simplify right side
    834.40x = 502,434.66
  5. Step 5: Solve for x
    x = 502,434.66/834.40
  6. Step 6: Final answer
    x = 602.15

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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.