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Finding the Fourth Proportional to 538.38, 743.06 and 314.28

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Solution

The fourth proportional to 538.38, 743.06 and 314.28 is: 433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.38 : 743.06 = 314.28 : x
  2. Step 2: Convert to fraction form
    538.38/743.06 = 314.28/x
  3. Step 3: Cross multiply
    538.38x = 743.06 × 314.28
  4. Step 4: Simplify right side
    538.38x = 233,527.33
  5. Step 5: Solve for x
    x = 233,527.33/538.38
  6. Step 6: Final answer
    x = 433.76

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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.