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Finding the Fourth Proportional to 817.41, 1,226.42 and 378.88

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Solution

The fourth proportional to 817.41, 1,226.42 and 378.88 is: 568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.41 : 1,226.42 = 378.88 : x
  2. Step 2: Convert to fraction form
    817.41/1,226.42 = 378.88/x
  3. Step 3: Cross multiply
    817.41x = 1,226.42 × 378.88
  4. Step 4: Simplify right side
    817.41x = 464,666.01
  5. Step 5: Solve for x
    x = 464,666.01/817.41
  6. Step 6: Final answer
    x = 568.46

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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.