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Finding the Fourth Proportional to 537.53, 741.82 and 388.23

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Solution

The fourth proportional to 537.53, 741.82 and 388.23 is: 535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.53 : 741.82 = 388.23 : x
  2. Step 2: Convert to fraction form
    537.53/741.82 = 388.23/x
  3. Step 3: Cross multiply
    537.53x = 741.82 × 388.23
  4. Step 4: Simplify right side
    537.53x = 287,996.78
  5. Step 5: Solve for x
    x = 287,996.78/537.53
  6. Step 6: Final answer
    x = 535.78

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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.