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Finding the Fourth Proportional to 493.73, 677.71 and 437.24

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Solution

The fourth proportional to 493.73, 677.71 and 437.24 is: 600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.73 : 677.71 = 437.24 : x
  2. Step 2: Convert to fraction form
    493.73/677.71 = 437.24/x
  3. Step 3: Cross multiply
    493.73x = 677.71 × 437.24
  4. Step 4: Simplify right side
    493.73x = 296,321.92
  5. Step 5: Solve for x
    x = 296,321.92/493.73
  6. Step 6: Final answer
    x = 600.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.