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Finding the Fourth Proportional to 539.78, 744.86 and 303.74

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Solution

The fourth proportional to 539.78, 744.86 and 303.74 is: 419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.78 : 744.86 = 303.74 : x
  2. Step 2: Convert to fraction form
    539.78/744.86 = 303.74/x
  3. Step 3: Cross multiply
    539.78x = 744.86 × 303.74
  4. Step 4: Simplify right side
    539.78x = 226,243.60
  5. Step 5: Solve for x
    x = 226,243.60/539.78
  6. Step 6: Final answer
    x = 419.14

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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.