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Finding the Fourth Proportional to 2,282.79, 3,423.47 and 639.21

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Solution

The fourth proportional to 2,282.79, 3,423.47 and 639.21 is: 958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.79 : 3,423.47 = 639.21 : x
  2. Step 2: Convert to fraction form
    2,282.79/3,423.47 = 639.21/x
  3. Step 3: Cross multiply
    2,282.79x = 3,423.47 × 639.21
  4. Step 4: Simplify right side
    2,282.79x = 2,188,313.06
  5. Step 5: Solve for x
    x = 2,188,313.06/2,282.79
  6. Step 6: Final answer
    x = 958.61

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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.