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Finding the Fourth Proportional to 1,285.20, 1,762 and 1,261.84

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Solution

The fourth proportional to 1,285.20, 1,762 and 1,261.84 is: 1,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.20 : 1,762 = 1,261.84 : x
  2. Step 2: Convert to fraction form
    1,285.20/1,762 = 1,261.84/x
  3. Step 3: Cross multiply
    1,285.20x = 1,762 × 1,261.84
  4. Step 4: Simplify right side
    1,285.20x = 2,223,362.08
  5. Step 5: Solve for x
    x = 2,223,362.08/1,285.20
  6. Step 6: Final answer
    x = 1,729.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.