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Finding the Fourth Proportional to 538.77, 743.81 and 362.05

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Solution

The fourth proportional to 538.77, 743.81 and 362.05 is: 499.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.77 : 743.81 = 362.05 : x
  2. Step 2: Convert to fraction form
    538.77/743.81 = 362.05/x
  3. Step 3: Cross multiply
    538.77x = 743.81 × 362.05
  4. Step 4: Simplify right side
    538.77x = 269,295.46
  5. Step 5: Solve for x
    x = 269,295.46/538.77
  6. Step 6: Final answer
    x = 499.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.