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Finding the Fourth Proportional to 547.68, 755.94 and 423.15

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Solution

The fourth proportional to 547.68, 755.94 and 423.15 is: 584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.68 : 755.94 = 423.15 : x
  2. Step 2: Convert to fraction form
    547.68/755.94 = 423.15/x
  3. Step 3: Cross multiply
    547.68x = 755.94 × 423.15
  4. Step 4: Simplify right side
    547.68x = 319,876.01
  5. Step 5: Solve for x
    x = 319,876.01/547.68
  6. Step 6: Final answer
    x = 584.06

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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.