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Finding the Fourth Proportional to 537.22, 741.42 and 513.87

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Solution

The fourth proportional to 537.22, 741.42 and 513.87 is: 709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.22 : 741.42 = 513.87 : x
  2. Step 2: Convert to fraction form
    537.22/741.42 = 513.87/x
  3. Step 3: Cross multiply
    537.22x = 741.42 × 513.87
  4. Step 4: Simplify right side
    537.22x = 380,993.50
  5. Step 5: Solve for x
    x = 380,993.50/537.22
  6. Step 6: Final answer
    x = 709.19

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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.