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Finding the Fourth Proportional to 537.26, 740.57 and 380.07

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Solution

The fourth proportional to 537.26, 740.57 and 380.07 is: 523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.26 : 740.57 = 380.07 : x
  2. Step 2: Convert to fraction form
    537.26/740.57 = 380.07/x
  3. Step 3: Cross multiply
    537.26x = 740.57 × 380.07
  4. Step 4: Simplify right side
    537.26x = 281,466.54
  5. Step 5: Solve for x
    x = 281,466.54/537.26
  6. Step 6: Final answer
    x = 523.90

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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.