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Finding the Fourth Proportional to 503.78, 753.97 and 360.43

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Solution

The fourth proportional to 503.78, 753.97 and 360.43 is: 539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.78 : 753.97 = 360.43 : x
  2. Step 2: Convert to fraction form
    503.78/753.97 = 360.43/x
  3. Step 3: Cross multiply
    503.78x = 753.97 × 360.43
  4. Step 4: Simplify right side
    503.78x = 271,753.41
  5. Step 5: Solve for x
    x = 271,753.41/503.78
  6. Step 6: Final answer
    x = 539.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.