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Finding the Fourth Proportional to 2,283.45, 3,424.90 and 640.12

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Solution

The fourth proportional to 2,283.45, 3,424.90 and 640.12 is: 960.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.45 : 3,424.90 = 640.12 : x
  2. Step 2: Convert to fraction form
    2,283.45/3,424.90 = 640.12/x
  3. Step 3: Cross multiply
    2,283.45x = 3,424.90 × 640.12
  4. Step 4: Simplify right side
    2,283.45x = 2,192,346.99
  5. Step 5: Solve for x
    x = 2,192,346.99/2,283.45
  6. Step 6: Final answer
    x = 960.10

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1.5x scale

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.