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Finding the Fourth Proportional to 547.95, 757.13 and 438.33

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Solution

The fourth proportional to 547.95, 757.13 and 438.33 is: 605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.95 : 757.13 = 438.33 : x
  2. Step 2: Convert to fraction form
    547.95/757.13 = 438.33/x
  3. Step 3: Cross multiply
    547.95x = 757.13 × 438.33
  4. Step 4: Simplify right side
    547.95x = 331,872.79
  5. Step 5: Solve for x
    x = 331,872.79/547.95
  6. Step 6: Final answer
    x = 605.66

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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.