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Finding the Fourth Proportional to 551.39, 822.43 and 513.11

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Solution

The fourth proportional to 551.39, 822.43 and 513.11 is: 765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.39 : 822.43 = 513.11 : x
  2. Step 2: Convert to fraction form
    551.39/822.43 = 513.11/x
  3. Step 3: Cross multiply
    551.39x = 822.43 × 513.11
  4. Step 4: Simplify right side
    551.39x = 421,997.83
  5. Step 5: Solve for x
    x = 421,997.83/551.39
  6. Step 6: Final answer
    x = 765.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.