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Finding the Fourth Proportional to 537.17, 741.05 and 380.03

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Solution

The fourth proportional to 537.17, 741.05 and 380.03 is: 524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.17 : 741.05 = 380.03 : x
  2. Step 2: Convert to fraction form
    537.17/741.05 = 380.03/x
  3. Step 3: Cross multiply
    537.17x = 741.05 × 380.03
  4. Step 4: Simplify right side
    537.17x = 281,617.05
  5. Step 5: Solve for x
    x = 281,617.05/537.17
  6. Step 6: Final answer
    x = 524.27

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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.