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Finding the Fourth Proportional to 547.53, 755.25 and 337.77

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Solution

The fourth proportional to 547.53, 755.25 and 337.77 is: 465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.53 : 755.25 = 337.77 : x
  2. Step 2: Convert to fraction form
    547.53/755.25 = 337.77/x
  3. Step 3: Cross multiply
    547.53x = 755.25 × 337.77
  4. Step 4: Simplify right side
    547.53x = 255,100.79
  5. Step 5: Solve for x
    x = 255,100.79/547.53
  6. Step 6: Final answer
    x = 465.91

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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.