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Finding the Fourth Proportional to 537.19, 803.79 and 383.47

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Solution

The fourth proportional to 537.19, 803.79 and 383.47 is: 573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.19 : 803.79 = 383.47 : x
  2. Step 2: Convert to fraction form
    537.19/803.79 = 383.47/x
  3. Step 3: Cross multiply
    537.19x = 803.79 × 383.47
  4. Step 4: Simplify right side
    537.19x = 308,229.35
  5. Step 5: Solve for x
    x = 308,229.35/537.19
  6. Step 6: Final answer
    x = 573.78

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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.