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Finding the Fourth Proportional to 1,105, 1,656.27 and 557.65

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Solution

The fourth proportional to 1,105, 1,656.27 and 557.65 is: 835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105 : 1,656.27 = 557.65 : x
  2. Step 2: Convert to fraction form
    1,105/1,656.27 = 557.65/x
  3. Step 3: Cross multiply
    1,105x = 1,656.27 × 557.65
  4. Step 4: Simplify right side
    1,105x = 923,618.97
  5. Step 5: Solve for x
    x = 923,618.97/1,105
  6. Step 6: Final answer
    x = 835.85

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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.