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Finding the Fourth Proportional to 811.53, 1,120.31 and 550.92

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Solution

The fourth proportional to 811.53, 1,120.31 and 550.92 is: 760.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.53 : 1,120.31 = 550.92 : x
  2. Step 2: Convert to fraction form
    811.53/1,120.31 = 550.92/x
  3. Step 3: Cross multiply
    811.53x = 1,120.31 × 550.92
  4. Step 4: Simplify right side
    811.53x = 617,201.19
  5. Step 5: Solve for x
    x = 617,201.19/811.53
  6. Step 6: Final answer
    x = 760.54

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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.