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Finding the Fourth Proportional to 537.18, 803.95 and 490.96

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Solution

The fourth proportional to 537.18, 803.95 and 490.96 is: 734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.18 : 803.95 = 490.96 : x
  2. Step 2: Convert to fraction form
    537.18/803.95 = 490.96/x
  3. Step 3: Cross multiply
    537.18x = 803.95 × 490.96
  4. Step 4: Simplify right side
    537.18x = 394,708.45
  5. Step 5: Solve for x
    x = 394,708.45/537.18
  6. Step 6: Final answer
    x = 734.78

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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.