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Finding the Fourth Proportional to 494.69, 683.09 and 339.89

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Solution

The fourth proportional to 494.69, 683.09 and 339.89 is: 469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.69 : 683.09 = 339.89 : x
  2. Step 2: Convert to fraction form
    494.69/683.09 = 339.89/x
  3. Step 3: Cross multiply
    494.69x = 683.09 × 339.89
  4. Step 4: Simplify right side
    494.69x = 232,175.46
  5. Step 5: Solve for x
    x = 232,175.46/494.69
  6. Step 6: Final answer
    x = 469.34

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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.