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Finding the Fourth Proportional to 551.99, 827.20 and 414.88

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Solution

The fourth proportional to 551.99, 827.20 and 414.88 is: 621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.99 : 827.20 = 414.88 : x
  2. Step 2: Convert to fraction form
    551.99/827.20 = 414.88/x
  3. Step 3: Cross multiply
    551.99x = 827.20 × 414.88
  4. Step 4: Simplify right side
    551.99x = 343,188.74
  5. Step 5: Solve for x
    x = 343,188.74/551.99
  6. Step 6: Final answer
    x = 621.73

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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.