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Finding the Fourth Proportional to 551.77, 827.11 and 356.74

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Solution

The fourth proportional to 551.77, 827.11 and 356.74 is: 534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.77 : 827.11 = 356.74 : x
  2. Step 2: Convert to fraction form
    551.77/827.11 = 356.74/x
  3. Step 3: Cross multiply
    551.77x = 827.11 × 356.74
  4. Step 4: Simplify right side
    551.77x = 295,063.22
  5. Step 5: Solve for x
    x = 295,063.22/551.77
  6. Step 6: Final answer
    x = 534.76

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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.