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Finding the Fourth Proportional to 537.88, 742.37 and 313.78

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Solution

The fourth proportional to 537.88, 742.37 and 313.78 is: 433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.88 : 742.37 = 313.78 : x
  2. Step 2: Convert to fraction form
    537.88/742.37 = 313.78/x
  3. Step 3: Cross multiply
    537.88x = 742.37 × 313.78
  4. Step 4: Simplify right side
    537.88x = 232,940.86
  5. Step 5: Solve for x
    x = 232,940.86/537.88
  6. Step 6: Final answer
    x = 433.07

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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.