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Finding the Fourth Proportional to 654.74, 982.76 and 411.87

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Solution

The fourth proportional to 654.74, 982.76 and 411.87 is: 618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.74 : 982.76 = 411.87 : x
  2. Step 2: Convert to fraction form
    654.74/982.76 = 411.87/x
  3. Step 3: Cross multiply
    654.74x = 982.76 × 411.87
  4. Step 4: Simplify right side
    654.74x = 404,767.30
  5. Step 5: Solve for x
    x = 404,767.30/654.74
  6. Step 6: Final answer
    x = 618.22

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Why These Related Problems?

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