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Finding the Fourth Proportional to 547.57, 755.65 and 298.91

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Solution

The fourth proportional to 547.57, 755.65 and 298.91 is: 412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.57 : 755.65 = 298.91 : x
  2. Step 2: Convert to fraction form
    547.57/755.65 = 298.91/x
  3. Step 3: Cross multiply
    547.57x = 755.65 × 298.91
  4. Step 4: Simplify right side
    547.57x = 225,867.56
  5. Step 5: Solve for x
    x = 225,867.56/547.57
  6. Step 6: Final answer
    x = 412.49

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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.