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Finding the Fourth Proportional to 562.94, 844.40 and 216.42

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Solution

The fourth proportional to 562.94, 844.40 and 216.42 is: 324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.94 : 844.40 = 216.42 : x
  2. Step 2: Convert to fraction form
    562.94/844.40 = 216.42/x
  3. Step 3: Cross multiply
    562.94x = 844.40 × 216.42
  4. Step 4: Simplify right side
    562.94x = 182,745.05
  5. Step 5: Solve for x
    x = 182,745.05/562.94
  6. Step 6: Final answer
    x = 324.63

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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.