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Finding the Fourth Proportional to 401.92, 605.68 and 383.38

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Solution

The fourth proportional to 401.92, 605.68 and 383.38 is: 577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.92 : 605.68 = 383.38 : x
  2. Step 2: Convert to fraction form
    401.92/605.68 = 383.38/x
  3. Step 3: Cross multiply
    401.92x = 605.68 × 383.38
  4. Step 4: Simplify right side
    401.92x = 232,205.60
  5. Step 5: Solve for x
    x = 232,205.60/401.92
  6. Step 6: Final answer
    x = 577.74

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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.