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Finding the Fourth Proportional to 2,283, 3,424.50 and 639.40

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Solution

The fourth proportional to 2,283, 3,424.50 and 639.40 is: 959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283 : 3,424.50 = 639.40 : x
  2. Step 2: Convert to fraction form
    2,283/3,424.50 = 639.40/x
  3. Step 3: Cross multiply
    2,283x = 3,424.50 × 639.40
  4. Step 4: Simplify right side
    2,283x = 2,189,625.30
  5. Step 5: Solve for x
    x = 2,189,625.30/2,283
  6. Step 6: Final answer
    x = 959.10

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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.