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Finding the Fourth Proportional to 547.02, 754.65 and 380.97

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Solution

The fourth proportional to 547.02, 754.65 and 380.97 is: 525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.02 : 754.65 = 380.97 : x
  2. Step 2: Convert to fraction form
    547.02/754.65 = 380.97/x
  3. Step 3: Cross multiply
    547.02x = 754.65 × 380.97
  4. Step 4: Simplify right side
    547.02x = 287,499.01
  5. Step 5: Solve for x
    x = 287,499.01/547.02
  6. Step 6: Final answer
    x = 525.57

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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.