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Finding the Fourth Proportional to 816.62, 1,223.19 and 378.23

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Solution

The fourth proportional to 816.62, 1,223.19 and 378.23 is: 566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.62 : 1,223.19 = 378.23 : x
  2. Step 2: Convert to fraction form
    816.62/1,223.19 = 378.23/x
  3. Step 3: Cross multiply
    816.62x = 1,223.19 × 378.23
  4. Step 4: Simplify right side
    816.62x = 462,641.04
  5. Step 5: Solve for x
    x = 462,641.04/816.62
  6. Step 6: Final answer
    x = 566.54

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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.