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Finding the Fourth Proportional to 537.23, 741.38 and 493.15

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Solution

The fourth proportional to 537.23, 741.38 and 493.15 is: 680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.23 : 741.38 = 493.15 : x
  2. Step 2: Convert to fraction form
    537.23/741.38 = 493.15/x
  3. Step 3: Cross multiply
    537.23x = 741.38 × 493.15
  4. Step 4: Simplify right side
    537.23x = 365,610.01
  5. Step 5: Solve for x
    x = 365,610.01/537.23
  6. Step 6: Final answer
    x = 680.54

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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.