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Finding the Fourth Proportional to 551.34, 827.19 and 346.05

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Solution

The fourth proportional to 551.34, 827.19 and 346.05 is: 519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.34 : 827.19 = 346.05 : x
  2. Step 2: Convert to fraction form
    551.34/827.19 = 346.05/x
  3. Step 3: Cross multiply
    551.34x = 827.19 × 346.05
  4. Step 4: Simplify right side
    551.34x = 286,249.10
  5. Step 5: Solve for x
    x = 286,249.10/551.34
  6. Step 6: Final answer
    x = 519.19

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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.