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Finding the Fourth Proportional to 538.76, 743.38 and 317.72

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Solution

The fourth proportional to 538.76, 743.38 and 317.72 is: 438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.76 : 743.38 = 317.72 : x
  2. Step 2: Convert to fraction form
    538.76/743.38 = 317.72/x
  3. Step 3: Cross multiply
    538.76x = 743.38 × 317.72
  4. Step 4: Simplify right side
    538.76x = 236,186.69
  5. Step 5: Solve for x
    x = 236,186.69/538.76
  6. Step 6: Final answer
    x = 438.39

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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.