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Finding the Fourth Proportional to 551.20, 825.20 and 422.08

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Solution

The fourth proportional to 551.20, 825.20 and 422.08 is: 631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.20 : 825.20 = 422.08 : x
  2. Step 2: Convert to fraction form
    551.20/825.20 = 422.08/x
  3. Step 3: Cross multiply
    551.20x = 825.20 × 422.08
  4. Step 4: Simplify right side
    551.20x = 348,300.42
  5. Step 5: Solve for x
    x = 348,300.42/551.20
  6. Step 6: Final answer
    x = 631.89

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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.