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Finding the Fourth Proportional to 537.89, 742.01 and 341.09

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Solution

The fourth proportional to 537.89, 742.01 and 341.09 is: 470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.89 : 742.01 = 341.09 : x
  2. Step 2: Convert to fraction form
    537.89/742.01 = 341.09/x
  3. Step 3: Cross multiply
    537.89x = 742.01 × 341.09
  4. Step 4: Simplify right side
    537.89x = 253,088.48
  5. Step 5: Solve for x
    x = 253,088.48/537.89
  6. Step 6: Final answer
    x = 470.53

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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.