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Finding the Fourth Proportional to 547.80, 756.24 and 361.56

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Solution

The fourth proportional to 547.80, 756.24 and 361.56 is: 499.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.80 : 756.24 = 361.56 : x
  2. Step 2: Convert to fraction form
    547.80/756.24 = 361.56/x
  3. Step 3: Cross multiply
    547.80x = 756.24 × 361.56
  4. Step 4: Simplify right side
    547.80x = 273,426.13
  5. Step 5: Solve for x
    x = 273,426.13/547.80
  6. Step 6: Final answer
    x = 499.13

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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.