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Finding the Fourth Proportional to 811.75, 1,217.08 and 401.15

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Solution

The fourth proportional to 811.75, 1,217.08 and 401.15 is: 601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.75 : 1,217.08 = 401.15 : x
  2. Step 2: Convert to fraction form
    811.75/1,217.08 = 401.15/x
  3. Step 3: Cross multiply
    811.75x = 1,217.08 × 401.15
  4. Step 4: Simplify right side
    811.75x = 488,231.64
  5. Step 5: Solve for x
    x = 488,231.64/811.75
  6. Step 6: Final answer
    x = 601.46

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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.