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Finding the Fourth Proportional to 551.49, 827.79 and 277.80

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Solution

The fourth proportional to 551.49, 827.79 and 277.80 is: 416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.49 : 827.79 = 277.80 : x
  2. Step 2: Convert to fraction form
    551.49/827.79 = 277.80/x
  3. Step 3: Cross multiply
    551.49x = 827.79 × 277.80
  4. Step 4: Simplify right side
    551.49x = 229,960.06
  5. Step 5: Solve for x
    x = 229,960.06/551.49
  6. Step 6: Final answer
    x = 416.98

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Double scale
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1.5x scale

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.