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Finding the Fourth Proportional to 538.96, 743.82 and 342.47

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Solution

The fourth proportional to 538.96, 743.82 and 342.47 is: 472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.96 : 743.82 = 342.47 : x
  2. Step 2: Convert to fraction form
    538.96/743.82 = 342.47/x
  3. Step 3: Cross multiply
    538.96x = 743.82 × 342.47
  4. Step 4: Simplify right side
    538.96x = 254,737.89
  5. Step 5: Solve for x
    x = 254,737.89/538.96
  6. Step 6: Final answer
    x = 472.65

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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.