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Finding the Fourth Proportional to 1,100.72, 1,520.19 and 854.99

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Solution

The fourth proportional to 1,100.72, 1,520.19 and 854.99 is: 1,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.72 : 1,520.19 = 854.99 : x
  2. Step 2: Convert to fraction form
    1,100.72/1,520.19 = 854.99/x
  3. Step 3: Cross multiply
    1,100.72x = 1,520.19 × 854.99
  4. Step 4: Simplify right side
    1,100.72x = 1,299,739.65
  5. Step 5: Solve for x
    x = 1,299,739.65/1,100.72
  6. Step 6: Final answer
    x = 1,180.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.