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Finding the Fourth Proportional to 496.61, 684.99 and 398.60

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Solution

The fourth proportional to 496.61, 684.99 and 398.60 is: 549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.61 : 684.99 = 398.60 : x
  2. Step 2: Convert to fraction form
    496.61/684.99 = 398.60/x
  3. Step 3: Cross multiply
    496.61x = 684.99 × 398.60
  4. Step 4: Simplify right side
    496.61x = 273,033.59
  5. Step 5: Solve for x
    x = 273,033.59/496.61
  6. Step 6: Final answer
    x = 549.80

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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.