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Finding the Fourth Proportional to 1,105.86, 1,659.19 and 557.63

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Solution

The fourth proportional to 1,105.86, 1,659.19 and 557.63 is: 836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.86 : 1,659.19 = 557.63 : x
  2. Step 2: Convert to fraction form
    1,105.86/1,659.19 = 557.63/x
  3. Step 3: Cross multiply
    1,105.86x = 1,659.19 × 557.63
  4. Step 4: Simplify right side
    1,105.86x = 925,221.05
  5. Step 5: Solve for x
    x = 925,221.05/1,105.86
  6. Step 6: Final answer
    x = 836.65

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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.