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Finding the Fourth Proportional to 1,261.06, 1,739.47 and 867.40

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Solution

The fourth proportional to 1,261.06, 1,739.47 and 867.40 is: 1,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.06 : 1,739.47 = 867.40 : x
  2. Step 2: Convert to fraction form
    1,261.06/1,739.47 = 867.40/x
  3. Step 3: Cross multiply
    1,261.06x = 1,739.47 × 867.40
  4. Step 4: Simplify right side
    1,261.06x = 1,508,816.28
  5. Step 5: Solve for x
    x = 1,508,816.28/1,261.06
  6. Step 6: Final answer
    x = 1,196.47

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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.