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Finding the Fourth Proportional to 551.40, 827.96 and 475.22

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Solution

The fourth proportional to 551.40, 827.96 and 475.22 is: 713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.40 : 827.96 = 475.22 : x
  2. Step 2: Convert to fraction form
    551.40/827.96 = 475.22/x
  3. Step 3: Cross multiply
    551.40x = 827.96 × 475.22
  4. Step 4: Simplify right side
    551.40x = 393,463.15
  5. Step 5: Solve for x
    x = 393,463.15/551.40
  6. Step 6: Final answer
    x = 713.57

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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.