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Finding the Fourth Proportional to 537.78, 742.15 and 310.70

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Solution

The fourth proportional to 537.78, 742.15 and 310.70 is: 428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.78 : 742.15 = 310.70 : x
  2. Step 2: Convert to fraction form
    537.78/742.15 = 310.70/x
  3. Step 3: Cross multiply
    537.78x = 742.15 × 310.70
  4. Step 4: Simplify right side
    537.78x = 230,586.01
  5. Step 5: Solve for x
    x = 230,586.01/537.78
  6. Step 6: Final answer
    x = 428.77

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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.