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Finding the Fourth Proportional to 547.26, 754.97 and 314.25

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Solution

The fourth proportional to 547.26, 754.97 and 314.25 is: 433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.26 : 754.97 = 314.25 : x
  2. Step 2: Convert to fraction form
    547.26/754.97 = 314.25/x
  3. Step 3: Cross multiply
    547.26x = 754.97 × 314.25
  4. Step 4: Simplify right side
    547.26x = 237,247.75
  5. Step 5: Solve for x
    x = 237,247.75/547.26
  6. Step 6: Final answer
    x = 433.52

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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.