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Finding the Fourth Proportional to 568.78, 784.40 and 412.44

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Solution

The fourth proportional to 568.78, 784.40 and 412.44 is: 568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.78 : 784.40 = 412.44 : x
  2. Step 2: Convert to fraction form
    568.78/784.40 = 412.44/x
  3. Step 3: Cross multiply
    568.78x = 784.40 × 412.44
  4. Step 4: Simplify right side
    568.78x = 323,517.94
  5. Step 5: Solve for x
    x = 323,517.94/568.78
  6. Step 6: Final answer
    x = 568.79

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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.