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Finding the Fourth Proportional to 2,283.20, 3,425 and 639.76

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Solution

The fourth proportional to 2,283.20, 3,425 and 639.76 is: 959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.20 : 3,425 = 639.76 : x
  2. Step 2: Convert to fraction form
    2,283.20/3,425 = 639.76/x
  3. Step 3: Cross multiply
    2,283.20x = 3,425 × 639.76
  4. Step 4: Simplify right side
    2,283.20x = 2,191,178
  5. Step 5: Solve for x
    x = 2,191,178/2,283.20
  6. Step 6: Final answer
    x = 959.70

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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.