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Finding the Fourth Proportional to 486.38, 732.89 and 401.60

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Solution

The fourth proportional to 486.38, 732.89 and 401.60 is: 605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.38 : 732.89 = 401.60 : x
  2. Step 2: Convert to fraction form
    486.38/732.89 = 401.60/x
  3. Step 3: Cross multiply
    486.38x = 732.89 × 401.60
  4. Step 4: Simplify right side
    486.38x = 294,331.46
  5. Step 5: Solve for x
    x = 294,331.46/486.38
  6. Step 6: Final answer
    x = 605.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.