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Finding the Fourth Proportional to 652.22, 978.78 and 408.92

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Solution

The fourth proportional to 652.22, 978.78 and 408.92 is: 613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.22 : 978.78 = 408.92 : x
  2. Step 2: Convert to fraction form
    652.22/978.78 = 408.92/x
  3. Step 3: Cross multiply
    652.22x = 978.78 × 408.92
  4. Step 4: Simplify right side
    652.22x = 400,242.72
  5. Step 5: Solve for x
    x = 400,242.72/652.22
  6. Step 6: Final answer
    x = 613.66

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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.