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Finding the Fourth Proportional to 551.96, 827.37 and 405.50

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Solution

The fourth proportional to 551.96, 827.37 and 405.50 is: 607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.96 : 827.37 = 405.50 : x
  2. Step 2: Convert to fraction form
    551.96/827.37 = 405.50/x
  3. Step 3: Cross multiply
    551.96x = 827.37 × 405.50
  4. Step 4: Simplify right side
    551.96x = 335,492.37
  5. Step 5: Solve for x
    x = 335,492.37/551.96
  6. Step 6: Final answer
    x = 607.82

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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.