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Finding the Fourth Proportional to 547.06, 754.90 and 298.37

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Solution

The fourth proportional to 547.06, 754.90 and 298.37 is: 411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.06 : 754.90 = 298.37 : x
  2. Step 2: Convert to fraction form
    547.06/754.90 = 298.37/x
  3. Step 3: Cross multiply
    547.06x = 754.90 × 298.37
  4. Step 4: Simplify right side
    547.06x = 225,235.74
  5. Step 5: Solve for x
    x = 225,235.74/547.06
  6. Step 6: Final answer
    x = 411.72

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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.