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Finding the Fourth Proportional to 551.90, 828.07 and 274.37

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Solution

The fourth proportional to 551.90, 828.07 and 274.37 is: 411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.90 : 828.07 = 274.37 : x
  2. Step 2: Convert to fraction form
    551.90/828.07 = 274.37/x
  3. Step 3: Cross multiply
    551.90x = 828.07 × 274.37
  4. Step 4: Simplify right side
    551.90x = 227,192.74
  5. Step 5: Solve for x
    x = 227,192.74/551.90
  6. Step 6: Final answer
    x = 411.65

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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.