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Finding the Fourth Proportional to 551.75, 826.72 and 369.20

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Solution

The fourth proportional to 551.75, 826.72 and 369.20 is: 553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.75 : 826.72 = 369.20 : x
  2. Step 2: Convert to fraction form
    551.75/826.72 = 369.20/x
  3. Step 3: Cross multiply
    551.75x = 826.72 × 369.20
  4. Step 4: Simplify right side
    551.75x = 305,226.17
  5. Step 5: Solve for x
    x = 305,226.17/551.75
  6. Step 6: Final answer
    x = 553.19

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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.