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Finding the Fourth Proportional to 578.05, 868.12 and 442.06

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Solution

The fourth proportional to 578.05, 868.12 and 442.06 is: 663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.05 : 868.12 = 442.06 : x
  2. Step 2: Convert to fraction form
    578.05/868.12 = 442.06/x
  3. Step 3: Cross multiply
    578.05x = 868.12 × 442.06
  4. Step 4: Simplify right side
    578.05x = 383,757.85
  5. Step 5: Solve for x
    x = 383,757.85/578.05
  6. Step 6: Final answer
    x = 663.89

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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.