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Finding the Fourth Proportional to 1,091.90, 1,504.16 and 811.65

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Solution

The fourth proportional to 1,091.90, 1,504.16 and 811.65 is: 1,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.90 : 1,504.16 = 811.65 : x
  2. Step 2: Convert to fraction form
    1,091.90/1,504.16 = 811.65/x
  3. Step 3: Cross multiply
    1,091.90x = 1,504.16 × 811.65
  4. Step 4: Simplify right side
    1,091.90x = 1,220,845.68
  5. Step 5: Solve for x
    x = 1,220,845.68/1,091.90
  6. Step 6: Final answer
    x = 1,118.10

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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.