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Finding the Fourth Proportional to 496.53, 684.45 and 422.55

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Solution

The fourth proportional to 496.53, 684.45 and 422.55 is: 582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.53 : 684.45 = 422.55 : x
  2. Step 2: Convert to fraction form
    496.53/684.45 = 422.55/x
  3. Step 3: Cross multiply
    496.53x = 684.45 × 422.55
  4. Step 4: Simplify right side
    496.53x = 289,214.35
  5. Step 5: Solve for x
    x = 289,214.35/496.53
  6. Step 6: Final answer
    x = 582.47

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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.