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Finding the Fourth Proportional to 539.66, 744.70 and 306.86

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Solution

The fourth proportional to 539.66, 744.70 and 306.86 is: 423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.66 : 744.70 = 306.86 : x
  2. Step 2: Convert to fraction form
    539.66/744.70 = 306.86/x
  3. Step 3: Cross multiply
    539.66x = 744.70 × 306.86
  4. Step 4: Simplify right side
    539.66x = 228,514.15
  5. Step 5: Solve for x
    x = 228,514.15/539.66
  6. Step 6: Final answer
    x = 423.44

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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.