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Finding the Fourth Proportional to 656.69, 984.85 and 344.00

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Solution

The fourth proportional to 656.69, 984.85 and 344.00 is: 515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.69 : 984.85 = 344.00 : x
  2. Step 2: Convert to fraction form
    656.69/984.85 = 344.00/x
  3. Step 3: Cross multiply
    656.69x = 984.85 × 344.00
  4. Step 4: Simplify right side
    656.69x = 338,790.00
  5. Step 5: Solve for x
    x = 338,790.00/656.69
  6. Step 6: Final answer
    x = 515.91

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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.