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Finding the Fourth Proportional to 2,286.45, 3,429.34 and 643.16

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Solution

The fourth proportional to 2,286.45, 3,429.34 and 643.16 is: 964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.45 : 3,429.34 = 643.16 : x
  2. Step 2: Convert to fraction form
    2,286.45/3,429.34 = 643.16/x
  3. Step 3: Cross multiply
    2,286.45x = 3,429.34 × 643.16
  4. Step 4: Simplify right side
    2,286.45x = 2,205,621.28
  5. Step 5: Solve for x
    x = 2,205,621.28/2,286.45
  6. Step 6: Final answer
    x = 964.65

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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.