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Finding the Fourth Proportional to 466.38, 695.54 and 426.87

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Solution

The fourth proportional to 466.38, 695.54 and 426.87 is: 636.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.38 : 695.54 = 426.87 : x
  2. Step 2: Convert to fraction form
    466.38/695.54 = 426.87/x
  3. Step 3: Cross multiply
    466.38x = 695.54 × 426.87
  4. Step 4: Simplify right side
    466.38x = 296,906.23
  5. Step 5: Solve for x
    x = 296,906.23/466.38
  6. Step 6: Final answer
    x = 636.62

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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.