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Finding the Fourth Proportional to 539.12, 744.18 and 492.14

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Solution

The fourth proportional to 539.12, 744.18 and 492.14 is: 679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.12 : 744.18 = 492.14 : x
  2. Step 2: Convert to fraction form
    539.12/744.18 = 492.14/x
  3. Step 3: Cross multiply
    539.12x = 744.18 × 492.14
  4. Step 4: Simplify right side
    539.12x = 366,240.75
  5. Step 5: Solve for x
    x = 366,240.75/539.12
  6. Step 6: Final answer
    x = 679.33

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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.