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Finding the Fourth Proportional to 662.18, 913.55 and 462.97

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Solution

The fourth proportional to 662.18, 913.55 and 462.97 is: 638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.18 : 913.55 = 462.97 : x
  2. Step 2: Convert to fraction form
    662.18/913.55 = 462.97/x
  3. Step 3: Cross multiply
    662.18x = 913.55 × 462.97
  4. Step 4: Simplify right side
    662.18x = 422,943.84
  5. Step 5: Solve for x
    x = 422,943.84/662.18
  6. Step 6: Final answer
    x = 638.71

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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.