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Finding the Fourth Proportional to 496.78, 684.96 and 421.94

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Solution

The fourth proportional to 496.78, 684.96 and 421.94 is: 581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.78 : 684.96 = 421.94 : x
  2. Step 2: Convert to fraction form
    496.78/684.96 = 421.94/x
  3. Step 3: Cross multiply
    496.78x = 684.96 × 421.94
  4. Step 4: Simplify right side
    496.78x = 289,012.02
  5. Step 5: Solve for x
    x = 289,012.02/496.78
  6. Step 6: Final answer
    x = 581.77

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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.