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Finding the Fourth Proportional to 496.33, 686.48 and 392.45

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Solution

The fourth proportional to 496.33, 686.48 and 392.45 is: 542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.33 : 686.48 = 392.45 : x
  2. Step 2: Convert to fraction form
    496.33/686.48 = 392.45/x
  3. Step 3: Cross multiply
    496.33x = 686.48 × 392.45
  4. Step 4: Simplify right side
    496.33x = 269,403.68
  5. Step 5: Solve for x
    x = 269,403.68/496.33
  6. Step 6: Final answer
    x = 542.79

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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.