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Finding the Fourth Proportional to 811.42, 1,217.70 and 551.44

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Solution

The fourth proportional to 811.42, 1,217.70 and 551.44 is: 827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.42 : 1,217.70 = 551.44 : x
  2. Step 2: Convert to fraction form
    811.42/1,217.70 = 551.44/x
  3. Step 3: Cross multiply
    811.42x = 1,217.70 × 551.44
  4. Step 4: Simplify right side
    811.42x = 671,488.49
  5. Step 5: Solve for x
    x = 671,488.49/811.42
  6. Step 6: Final answer
    x = 827.55

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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.