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Finding the Fourth Proportional to 538.78, 743.26 and 478.95

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Solution

The fourth proportional to 538.78, 743.26 and 478.95 is: 660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.78 : 743.26 = 478.95 : x
  2. Step 2: Convert to fraction form
    538.78/743.26 = 478.95/x
  3. Step 3: Cross multiply
    538.78x = 743.26 × 478.95
  4. Step 4: Simplify right side
    538.78x = 355,978.27
  5. Step 5: Solve for x
    x = 355,978.27/538.78
  6. Step 6: Final answer
    x = 660.71

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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.