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Finding the Fourth Proportional to 2,286.56, 3,429.84 and 555.19

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Solution

The fourth proportional to 2,286.56, 3,429.84 and 555.19 is: 832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.56 : 3,429.84 = 555.19 : x
  2. Step 2: Convert to fraction form
    2,286.56/3,429.84 = 555.19/x
  3. Step 3: Cross multiply
    2,286.56x = 3,429.84 × 555.19
  4. Step 4: Simplify right side
    2,286.56x = 1,904,206.38
  5. Step 5: Solve for x
    x = 1,904,206.38/2,286.56
  6. Step 6: Final answer
    x = 832.78

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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.