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Finding the Fourth Proportional to 652.11, 978.39 and 408.35

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Solution

The fourth proportional to 652.11, 978.39 and 408.35 is: 612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.11 : 978.39 = 408.35 : x
  2. Step 2: Convert to fraction form
    652.11/978.39 = 408.35/x
  3. Step 3: Cross multiply
    652.11x = 978.39 × 408.35
  4. Step 4: Simplify right side
    652.11x = 399,520.66
  5. Step 5: Solve for x
    x = 399,520.66/652.11
  6. Step 6: Final answer
    x = 612.66

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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.