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Finding the Fourth Proportional to 2,286.72, 3,430.05 and 643.18

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Solution

The fourth proportional to 2,286.72, 3,430.05 and 643.18 is: 964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.72 : 3,430.05 = 643.18 : x
  2. Step 2: Convert to fraction form
    2,286.72/3,430.05 = 643.18/x
  3. Step 3: Cross multiply
    2,286.72x = 3,430.05 × 643.18
  4. Step 4: Simplify right side
    2,286.72x = 2,206,139.56
  5. Step 5: Solve for x
    x = 2,206,139.56/2,286.72
  6. Step 6: Final answer
    x = 964.76

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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.