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Finding the Fourth Proportional to 537.62, 742.88 and 419.90

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Solution

The fourth proportional to 537.62, 742.88 and 419.90 is: 580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.62 : 742.88 = 419.90 : x
  2. Step 2: Convert to fraction form
    537.62/742.88 = 419.90/x
  3. Step 3: Cross multiply
    537.62x = 742.88 × 419.90
  4. Step 4: Simplify right side
    537.62x = 311,932.65
  5. Step 5: Solve for x
    x = 311,932.65/537.62
  6. Step 6: Final answer
    x = 580.22

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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.