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Finding the Fourth Proportional to 547.14, 754.98 and 314.22

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Solution

The fourth proportional to 547.14, 754.98 and 314.22 is: 433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.14 : 754.98 = 314.22 : x
  2. Step 2: Convert to fraction form
    547.14/754.98 = 314.22/x
  3. Step 3: Cross multiply
    547.14x = 754.98 × 314.22
  4. Step 4: Simplify right side
    547.14x = 237,229.82
  5. Step 5: Solve for x
    x = 237,229.82/547.14
  6. Step 6: Final answer
    x = 433.58

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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.