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Finding the Fourth Proportional to 2,224.71, 3,337.59 and 664.71

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Solution

The fourth proportional to 2,224.71, 3,337.59 and 664.71 is: 997.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.71 : 3,337.59 = 664.71 : x
  2. Step 2: Convert to fraction form
    2,224.71/3,337.59 = 664.71/x
  3. Step 3: Cross multiply
    2,224.71x = 3,337.59 × 664.71
  4. Step 4: Simplify right side
    2,224.71x = 2,218,529.45
  5. Step 5: Solve for x
    x = 2,218,529.45/2,224.71
  6. Step 6: Final answer
    x = 997.22

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1.5x scale

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.