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Finding the Fourth Proportional to 422.99, 633.93 and 260.78

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Solution

The fourth proportional to 422.99, 633.93 and 260.78 is: 390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.99 : 633.93 = 260.78 : x
  2. Step 2: Convert to fraction form
    422.99/633.93 = 260.78/x
  3. Step 3: Cross multiply
    422.99x = 633.93 × 260.78
  4. Step 4: Simplify right side
    422.99x = 165,316.27
  5. Step 5: Solve for x
    x = 165,316.27/422.99
  6. Step 6: Final answer
    x = 390.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.