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Finding the Fourth Proportional to 537.69, 742.97 and 419.96

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Solution

The fourth proportional to 537.69, 742.97 and 419.96 is: 580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.69 : 742.97 = 419.96 : x
  2. Step 2: Convert to fraction form
    537.69/742.97 = 419.96/x
  3. Step 3: Cross multiply
    537.69x = 742.97 × 419.96
  4. Step 4: Simplify right side
    537.69x = 312,018.50
  5. Step 5: Solve for x
    x = 312,018.50/537.69
  6. Step 6: Final answer
    x = 580.30

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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.