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Finding the Fourth Proportional to 547.89, 756.05 and 299.20

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Solution

The fourth proportional to 547.89, 756.05 and 299.20 is: 412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.89 : 756.05 = 299.20 : x
  2. Step 2: Convert to fraction form
    547.89/756.05 = 299.20/x
  3. Step 3: Cross multiply
    547.89x = 756.05 × 299.20
  4. Step 4: Simplify right side
    547.89x = 226,204.88
  5. Step 5: Solve for x
    x = 226,204.88/547.89
  6. Step 6: Final answer
    x = 412.87

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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.