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Finding the Fourth Proportional to 538.71, 743.61 and 405.73

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Solution

The fourth proportional to 538.71, 743.61 and 405.73 is: 560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.71 : 743.61 = 405.73 : x
  2. Step 2: Convert to fraction form
    538.71/743.61 = 405.73/x
  3. Step 3: Cross multiply
    538.71x = 743.61 × 405.73
  4. Step 4: Simplify right side
    538.71x = 301,704.89
  5. Step 5: Solve for x
    x = 301,704.89/538.71
  6. Step 6: Final answer
    x = 560.05

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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.