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Finding the Fourth Proportional to 812.10, 1,218.72 and 551.48

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Solution

The fourth proportional to 812.10, 1,218.72 and 551.48 is: 827.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.10 : 1,218.72 = 551.48 : x
  2. Step 2: Convert to fraction form
    812.10/1,218.72 = 551.48/x
  3. Step 3: Cross multiply
    812.10x = 1,218.72 × 551.48
  4. Step 4: Simplify right side
    812.10x = 672,099.71
  5. Step 5: Solve for x
    x = 672,099.71/812.10
  6. Step 6: Final answer
    x = 827.61

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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.