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Finding the Fourth Proportional to 496.48, 684.30 and 391.30

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Solution

The fourth proportional to 496.48, 684.30 and 391.30 is: 539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.48 : 684.30 = 391.30 : x
  2. Step 2: Convert to fraction form
    496.48/684.30 = 391.30/x
  3. Step 3: Cross multiply
    496.48x = 684.30 × 391.30
  4. Step 4: Simplify right side
    496.48x = 267,766.59
  5. Step 5: Solve for x
    x = 267,766.59/496.48
  6. Step 6: Final answer
    x = 539.33

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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.