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Finding the Fourth Proportional to 538.47, 743.16 and 314.48

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Solution

The fourth proportional to 538.47, 743.16 and 314.48 is: 434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.47 : 743.16 = 314.48 : x
  2. Step 2: Convert to fraction form
    538.47/743.16 = 314.48/x
  3. Step 3: Cross multiply
    538.47x = 743.16 × 314.48
  4. Step 4: Simplify right side
    538.47x = 233,709.21
  5. Step 5: Solve for x
    x = 233,709.21/538.47
  6. Step 6: Final answer
    x = 434.02

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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.