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Finding the Fourth Proportional to 1,261.30, 1,739.61 and 863.20

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Solution

The fourth proportional to 1,261.30, 1,739.61 and 863.20 is: 1,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.30 : 1,739.61 = 863.20 : x
  2. Step 2: Convert to fraction form
    1,261.30/1,739.61 = 863.20/x
  3. Step 3: Cross multiply
    1,261.30x = 1,739.61 × 863.20
  4. Step 4: Simplify right side
    1,261.30x = 1,501,631.35
  5. Step 5: Solve for x
    x = 1,501,631.35/1,261.30
  6. Step 6: Final answer
    x = 1,190.54

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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.