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Finding the Fourth Proportional to 1,086.22, 1,623.01 and 834.71

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Solution

The fourth proportional to 1,086.22, 1,623.01 and 834.71 is: 1,247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.22 : 1,623.01 = 834.71 : x
  2. Step 2: Convert to fraction form
    1,086.22/1,623.01 = 834.71/x
  3. Step 3: Cross multiply
    1,086.22x = 1,623.01 × 834.71
  4. Step 4: Simplify right side
    1,086.22x = 1,354,744.65
  5. Step 5: Solve for x
    x = 1,354,744.65/1,086.22
  6. Step 6: Final answer
    x = 1,247.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.