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Finding the Fourth Proportional to 1,067.20, 1,473.36 and 718.24

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Solution

The fourth proportional to 1,067.20, 1,473.36 and 718.24 is: 991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.20 : 1,473.36 = 718.24 : x
  2. Step 2: Convert to fraction form
    1,067.20/1,473.36 = 718.24/x
  3. Step 3: Cross multiply
    1,067.20x = 1,473.36 × 718.24
  4. Step 4: Simplify right side
    1,067.20x = 1,058,226.09
  5. Step 5: Solve for x
    x = 1,058,226.09/1,067.20
  6. Step 6: Final answer
    x = 991.59

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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.