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Finding the Fourth Proportional to 547.06, 754.40 and 422.42

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Solution

The fourth proportional to 547.06, 754.40 and 422.42 is: 582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.06 : 754.40 = 422.42 : x
  2. Step 2: Convert to fraction form
    547.06/754.40 = 422.42/x
  3. Step 3: Cross multiply
    547.06x = 754.40 × 422.42
  4. Step 4: Simplify right side
    547.06x = 318,673.65
  5. Step 5: Solve for x
    x = 318,673.65/547.06
  6. Step 6: Final answer
    x = 582.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.