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Finding the Fourth Proportional to 580.45, 871.62 and 551.22

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Solution

The fourth proportional to 580.45, 871.62 and 551.22 is: 827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.45 : 871.62 = 551.22 : x
  2. Step 2: Convert to fraction form
    580.45/871.62 = 551.22/x
  3. Step 3: Cross multiply
    580.45x = 871.62 × 551.22
  4. Step 4: Simplify right side
    580.45x = 480,454.38
  5. Step 5: Solve for x
    x = 480,454.38/580.45
  6. Step 6: Final answer
    x = 827.73

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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.