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Finding the Fourth Proportional to 652.11, 978.85 and 343.88

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Solution

The fourth proportional to 652.11, 978.85 and 343.88 is: 516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.11 : 978.85 = 343.88 : x
  2. Step 2: Convert to fraction form
    652.11/978.85 = 343.88/x
  3. Step 3: Cross multiply
    652.11x = 978.85 × 343.88
  4. Step 4: Simplify right side
    652.11x = 336,604.21
  5. Step 5: Solve for x
    x = 336,604.21/652.11
  6. Step 6: Final answer
    x = 516.18

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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.