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Finding the Fourth Proportional to 652.13, 978.24 and 267.38

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Solution

The fourth proportional to 652.13, 978.24 and 267.38 is: 401.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.13 : 978.24 = 267.38 : x
  2. Step 2: Convert to fraction form
    652.13/978.24 = 267.38/x
  3. Step 3: Cross multiply
    652.13x = 978.24 × 267.38
  4. Step 4: Simplify right side
    652.13x = 261,556.92
  5. Step 5: Solve for x
    x = 261,556.92/652.13
  6. Step 6: Final answer
    x = 401.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.