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Finding the Fourth Proportional to 808, 1,212.39 and 374.92

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Solution

The fourth proportional to 808, 1,212.39 and 374.92 is: 562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    808 : 1,212.39 = 374.92 : x
  2. Step 2: Convert to fraction form
    808/1,212.39 = 374.92/x
  3. Step 3: Cross multiply
    808x = 1,212.39 × 374.92
  4. Step 4: Simplify right side
    808x = 454,549.26
  5. Step 5: Solve for x
    x = 454,549.26/808
  6. Step 6: Final answer
    x = 562.56

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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.