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Finding the Fourth Proportional to 578.56, 868.26 and 442

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Solution

The fourth proportional to 578.56, 868.26 and 442 is: 663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.56 : 868.26 = 442 : x
  2. Step 2: Convert to fraction form
    578.56/868.26 = 442/x
  3. Step 3: Cross multiply
    578.56x = 868.26 × 442
  4. Step 4: Simplify right side
    578.56x = 383,770.92
  5. Step 5: Solve for x
    x = 383,770.92/578.56
  6. Step 6: Final answer
    x = 663.32

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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.