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Finding the Fourth Proportional to 656.14, 982.78 and 411.47

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Solution

The fourth proportional to 656.14, 982.78 and 411.47 is: 616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.14 : 982.78 = 411.47 : x
  2. Step 2: Convert to fraction form
    656.14/982.78 = 411.47/x
  3. Step 3: Cross multiply
    656.14x = 982.78 × 411.47
  4. Step 4: Simplify right side
    656.14x = 404,384.49
  5. Step 5: Solve for x
    x = 404,384.49/656.14
  6. Step 6: Final answer
    x = 616.31

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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.