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Finding the Fourth Proportional to 496.53, 683.96 and 425.39

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Solution

The fourth proportional to 496.53, 683.96 and 425.39 is: 585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.53 : 683.96 = 425.39 : x
  2. Step 2: Convert to fraction form
    496.53/683.96 = 425.39/x
  3. Step 3: Cross multiply
    496.53x = 683.96 × 425.39
  4. Step 4: Simplify right side
    496.53x = 290,944.20
  5. Step 5: Solve for x
    x = 290,944.20/496.53
  6. Step 6: Final answer
    x = 585.95

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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.