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Finding the Fourth Proportional to 407.86, 562.22 and 324.84

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Solution

The fourth proportional to 407.86, 562.22 and 324.84 is: 447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.86 : 562.22 = 324.84 : x
  2. Step 2: Convert to fraction form
    407.86/562.22 = 324.84/x
  3. Step 3: Cross multiply
    407.86x = 562.22 × 324.84
  4. Step 4: Simplify right side
    407.86x = 182,629.03
  5. Step 5: Solve for x
    x = 182,629.03/407.86
  6. Step 6: Final answer
    x = 447.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.