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Finding the Fourth Proportional to 1,192.05, 1,785.35 and 576.20

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Solution

The fourth proportional to 1,192.05, 1,785.35 and 576.20 is: 862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.05 : 1,785.35 = 576.20 : x
  2. Step 2: Convert to fraction form
    1,192.05/1,785.35 = 576.20/x
  3. Step 3: Cross multiply
    1,192.05x = 1,785.35 × 576.20
  4. Step 4: Simplify right side
    1,192.05x = 1,028,706.86
  5. Step 5: Solve for x
    x = 1,028,706.86/1,192.05
  6. Step 6: Final answer
    x = 862.97

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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.