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Finding the Fourth Proportional to 537.80, 741.54 and 372.14

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Solution

The fourth proportional to 537.80, 741.54 and 372.14 is: 513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.80 : 741.54 = 372.14 : x
  2. Step 2: Convert to fraction form
    537.80/741.54 = 372.14/x
  3. Step 3: Cross multiply
    537.80x = 741.54 × 372.14
  4. Step 4: Simplify right side
    537.80x = 275,956.70
  5. Step 5: Solve for x
    x = 275,956.70/537.80
  6. Step 6: Final answer
    x = 513.12

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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.