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Finding the Fourth Proportional to 547.36, 756.03 and 423.43

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Solution

The fourth proportional to 547.36, 756.03 and 423.43 is: 584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.36 : 756.03 = 423.43 : x
  2. Step 2: Convert to fraction form
    547.36/756.03 = 423.43/x
  3. Step 3: Cross multiply
    547.36x = 756.03 × 423.43
  4. Step 4: Simplify right side
    547.36x = 320,125.48
  5. Step 5: Solve for x
    x = 320,125.48/547.36
  6. Step 6: Final answer
    x = 584.86

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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.