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Finding the Fourth Proportional to 1,480.55, 2,043.25 and 851.11

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Solution

The fourth proportional to 1,480.55, 2,043.25 and 851.11 is: 1,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.55 : 2,043.25 = 851.11 : x
  2. Step 2: Convert to fraction form
    1,480.55/2,043.25 = 851.11/x
  3. Step 3: Cross multiply
    1,480.55x = 2,043.25 × 851.11
  4. Step 4: Simplify right side
    1,480.55x = 1,739,025.67
  5. Step 5: Solve for x
    x = 1,739,025.67/1,480.55
  6. Step 6: Final answer
    x = 1,174.58

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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.