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Finding the Fourth Proportional to 496.04, 684.61 and 309.73

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Solution

The fourth proportional to 496.04, 684.61 and 309.73 is: 427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.04 : 684.61 = 309.73 : x
  2. Step 2: Convert to fraction form
    496.04/684.61 = 309.73/x
  3. Step 3: Cross multiply
    496.04x = 684.61 × 309.73
  4. Step 4: Simplify right side
    496.04x = 212,042.71
  5. Step 5: Solve for x
    x = 212,042.71/496.04
  6. Step 6: Final answer
    x = 427.47

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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.