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Finding the Fourth Proportional to 466.44, 696.27 and 427.92

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Solution

The fourth proportional to 466.44, 696.27 and 427.92 is: 638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.44 : 696.27 = 427.92 : x
  2. Step 2: Convert to fraction form
    466.44/696.27 = 427.92/x
  3. Step 3: Cross multiply
    466.44x = 696.27 × 427.92
  4. Step 4: Simplify right side
    466.44x = 297,947.86
  5. Step 5: Solve for x
    x = 297,947.86/466.44
  6. Step 6: Final answer
    x = 638.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.