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Finding the Fourth Proportional to 579.56, 872.78 and 522.44

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Solution

The fourth proportional to 579.56, 872.78 and 522.44 is: 786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.56 : 872.78 = 522.44 : x
  2. Step 2: Convert to fraction form
    579.56/872.78 = 522.44/x
  3. Step 3: Cross multiply
    579.56x = 872.78 × 522.44
  4. Step 4: Simplify right side
    579.56x = 455,975.18
  5. Step 5: Solve for x
    x = 455,975.18/579.56
  6. Step 6: Final answer
    x = 786.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.