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Finding the Fourth Proportional to 2,452.42, 3,678.78 and 808.98

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Solution

The fourth proportional to 2,452.42, 3,678.78 and 808.98 is: 1,213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.42 : 3,678.78 = 808.98 : x
  2. Step 2: Convert to fraction form
    2,452.42/3,678.78 = 808.98/x
  3. Step 3: Cross multiply
    2,452.42x = 3,678.78 × 808.98
  4. Step 4: Simplify right side
    2,452.42x = 2,976,059.03
  5. Step 5: Solve for x
    x = 2,976,059.03/2,452.42
  6. Step 6: Final answer
    x = 1,213.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.