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Finding the Fourth Proportional to 1,261.71, 1,739.67 and 863.57

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Solution

The fourth proportional to 1,261.71, 1,739.67 and 863.57 is: 1,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.71 : 1,739.67 = 863.57 : x
  2. Step 2: Convert to fraction form
    1,261.71/1,739.67 = 863.57/x
  3. Step 3: Cross multiply
    1,261.71x = 1,739.67 × 863.57
  4. Step 4: Simplify right side
    1,261.71x = 1,502,318.12
  5. Step 5: Solve for x
    x = 1,502,318.12/1,261.71
  6. Step 6: Final answer
    x = 1,190.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.