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Finding the Fourth Proportional to 496.73, 684.97 and 427.02

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Solution

The fourth proportional to 496.73, 684.97 and 427.02 is: 588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.73 : 684.97 = 427.02 : x
  2. Step 2: Convert to fraction form
    496.73/684.97 = 427.02/x
  3. Step 3: Cross multiply
    496.73x = 684.97 × 427.02
  4. Step 4: Simplify right side
    496.73x = 292,498.51
  5. Step 5: Solve for x
    x = 292,498.51/496.73
  6. Step 6: Final answer
    x = 588.85

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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.