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Finding the Fourth Proportional to 1,085.74, 1,629.55 and 810.97

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Solution

The fourth proportional to 1,085.74, 1,629.55 and 810.97 is: 1,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.74 : 1,629.55 = 810.97 : x
  2. Step 2: Convert to fraction form
    1,085.74/1,629.55 = 810.97/x
  3. Step 3: Cross multiply
    1,085.74x = 1,629.55 × 810.97
  4. Step 4: Simplify right side
    1,085.74x = 1,321,516.16
  5. Step 5: Solve for x
    x = 1,321,516.16/1,085.74
  6. Step 6: Final answer
    x = 1,217.16

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1.5x scale

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.