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Finding the Fourth Proportional to 863.21, 1,294.35 and 401.10

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Solution

The fourth proportional to 863.21, 1,294.35 and 401.10 is: 601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.21 : 1,294.35 = 401.10 : x
  2. Step 2: Convert to fraction form
    863.21/1,294.35 = 401.10/x
  3. Step 3: Cross multiply
    863.21x = 1,294.35 × 401.10
  4. Step 4: Simplify right side
    863.21x = 519,163.79
  5. Step 5: Solve for x
    x = 519,163.79/863.21
  6. Step 6: Final answer
    x = 601.44

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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.