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Finding the Fourth Proportional to 537.08, 804.24 and 353.91

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Solution

The fourth proportional to 537.08, 804.24 and 353.91 is: 529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.08 : 804.24 = 353.91 : x
  2. Step 2: Convert to fraction form
    537.08/804.24 = 353.91/x
  3. Step 3: Cross multiply
    537.08x = 804.24 × 353.91
  4. Step 4: Simplify right side
    537.08x = 284,628.58
  5. Step 5: Solve for x
    x = 284,628.58/537.08
  6. Step 6: Final answer
    x = 529.96

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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.