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Finding the Fourth Proportional to 547.56, 755.65 and 298.87

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Solution

The fourth proportional to 547.56, 755.65 and 298.87 is: 412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.56 : 755.65 = 298.87 : x
  2. Step 2: Convert to fraction form
    547.56/755.65 = 298.87/x
  3. Step 3: Cross multiply
    547.56x = 755.65 × 298.87
  4. Step 4: Simplify right side
    547.56x = 225,841.12
  5. Step 5: Solve for x
    x = 225,841.12/547.56
  6. Step 6: Final answer
    x = 412.45

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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.