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Finding the Fourth Proportional to 1,150.28, 1,723.18 and 687.08

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Solution

The fourth proportional to 1,150.28, 1,723.18 and 687.08 is: 1,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.28 : 1,723.18 = 687.08 : x
  2. Step 2: Convert to fraction form
    1,150.28/1,723.18 = 687.08/x
  3. Step 3: Cross multiply
    1,150.28x = 1,723.18 × 687.08
  4. Step 4: Simplify right side
    1,150.28x = 1,183,962.51
  5. Step 5: Solve for x
    x = 1,183,962.51/1,150.28
  6. Step 6: Final answer
    x = 1,029.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.