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Finding the Fourth Proportional to 547.91, 756.08 and 299.18

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Solution

The fourth proportional to 547.91, 756.08 and 299.18 is: 412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.91 : 756.08 = 299.18 : x
  2. Step 2: Convert to fraction form
    547.91/756.08 = 299.18/x
  3. Step 3: Cross multiply
    547.91x = 756.08 × 299.18
  4. Step 4: Simplify right side
    547.91x = 226,200.43
  5. Step 5: Solve for x
    x = 226,200.43/547.91
  6. Step 6: Final answer
    x = 412.84

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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.