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Finding the Fourth Proportional to 547.71, 756.18 and 377.66

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Solution

The fourth proportional to 547.71, 756.18 and 377.66 is: 521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.71 : 756.18 = 377.66 : x
  2. Step 2: Convert to fraction form
    547.71/756.18 = 377.66/x
  3. Step 3: Cross multiply
    547.71x = 756.18 × 377.66
  4. Step 4: Simplify right side
    547.71x = 285,578.94
  5. Step 5: Solve for x
    x = 285,578.94/547.71
  6. Step 6: Final answer
    x = 521.41

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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.