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Finding the Fourth Proportional to 2,283.31, 3,424.44 and 640.02

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Solution

The fourth proportional to 2,283.31, 3,424.44 and 640.02 is: 959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.31 : 3,424.44 = 640.02 : x
  2. Step 2: Convert to fraction form
    2,283.31/3,424.44 = 640.02/x
  3. Step 3: Cross multiply
    2,283.31x = 3,424.44 × 640.02
  4. Step 4: Simplify right side
    2,283.31x = 2,191,725.33
  5. Step 5: Solve for x
    x = 2,191,725.33/2,283.31
  6. Step 6: Final answer
    x = 959.89

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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.