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Finding the Fourth Proportional to 538.45, 806.83 and 364.70

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Solution

The fourth proportional to 538.45, 806.83 and 364.70 is: 546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.45 : 806.83 = 364.70 : x
  2. Step 2: Convert to fraction form
    538.45/806.83 = 364.70/x
  3. Step 3: Cross multiply
    538.45x = 806.83 × 364.70
  4. Step 4: Simplify right side
    538.45x = 294,252.01
  5. Step 5: Solve for x
    x = 294,252.01/538.45
  6. Step 6: Final answer
    x = 546.48

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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.