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Finding the Fourth Proportional to 1,100.72, 1,651.08 and 856.55

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Solution

The fourth proportional to 1,100.72, 1,651.08 and 856.55 is: 1,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.72 : 1,651.08 = 856.55 : x
  2. Step 2: Convert to fraction form
    1,100.72/1,651.08 = 856.55/x
  3. Step 3: Cross multiply
    1,100.72x = 1,651.08 × 856.55
  4. Step 4: Simplify right side
    1,100.72x = 1,414,232.57
  5. Step 5: Solve for x
    x = 1,414,232.57/1,100.72
  6. Step 6: Final answer
    x = 1,284.83

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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.