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Finding the Fourth Proportional to 2,283.79, 3,425.84 and 640.40

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Solution

The fourth proportional to 2,283.79, 3,425.84 and 640.40 is: 960.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.79 : 3,425.84 = 640.40 : x
  2. Step 2: Convert to fraction form
    2,283.79/3,425.84 = 640.40/x
  3. Step 3: Cross multiply
    2,283.79x = 3,425.84 × 640.40
  4. Step 4: Simplify right side
    2,283.79x = 2,193,904.73
  5. Step 5: Solve for x
    x = 2,193,904.73/2,283.79
  6. Step 6: Final answer
    x = 960.64

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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.