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Finding the Fourth Proportional to 1,339.58, 2,010.22 and 723.71

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Solution

The fourth proportional to 1,339.58, 2,010.22 and 723.71 is: 1,086.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.58 : 2,010.22 = 723.71 : x
  2. Step 2: Convert to fraction form
    1,339.58/2,010.22 = 723.71/x
  3. Step 3: Cross multiply
    1,339.58x = 2,010.22 × 723.71
  4. Step 4: Simplify right side
    1,339.58x = 1,454,816.32
  5. Step 5: Solve for x
    x = 1,454,816.32/1,339.58
  6. Step 6: Final answer
    x = 1,086.02

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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.