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Finding the Fourth Proportional to 539.14, 743.74 and 317.88

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Solution

The fourth proportional to 539.14, 743.74 and 317.88 is: 438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.14 : 743.74 = 317.88 : x
  2. Step 2: Convert to fraction form
    539.14/743.74 = 317.88/x
  3. Step 3: Cross multiply
    539.14x = 743.74 × 317.88
  4. Step 4: Simplify right side
    539.14x = 236,420.07
  5. Step 5: Solve for x
    x = 236,420.07/539.14
  6. Step 6: Final answer
    x = 438.51

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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.