Home / 1,349.14-2,019.39-723.57

Finding the Fourth Proportional to 1,349.14, 2,019.39 and 723.57

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Solution

The fourth proportional to 1,349.14, 2,019.39 and 723.57 is: 1,083.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.14 : 2,019.39 = 723.57 : x
  2. Step 2: Convert to fraction form
    1,349.14/2,019.39 = 723.57/x
  3. Step 3: Cross multiply
    1,349.14x = 2,019.39 × 723.57
  4. Step 4: Simplify right side
    1,349.14x = 1,461,170.02
  5. Step 5: Solve for x
    x = 1,461,170.02/1,349.14
  6. Step 6: Final answer
    x = 1,083.04

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Why These Related Problems?

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