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Finding the Fourth Proportional to 811.25, 1,217.00 and 378.17

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Solution

The fourth proportional to 811.25, 1,217.00 and 378.17 is: 567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.25 : 1,217.00 = 378.17 : x
  2. Step 2: Convert to fraction form
    811.25/1,217.00 = 378.17/x
  3. Step 3: Cross multiply
    811.25x = 1,217.00 × 378.17
  4. Step 4: Simplify right side
    811.25x = 460,231.00
  5. Step 5: Solve for x
    x = 460,231.00/811.25
  6. Step 6: Final answer
    x = 567.31

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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.