Home / 1,149.73-1,724.76-419.23

Finding the Fourth Proportional to 1,149.73, 1,724.76 and 419.23

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Solution

The fourth proportional to 1,149.73, 1,724.76 and 419.23 is: 628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.73 : 1,724.76 = 419.23 : x
  2. Step 2: Convert to fraction form
    1,149.73/1,724.76 = 419.23/x
  3. Step 3: Cross multiply
    1,149.73x = 1,724.76 × 419.23
  4. Step 4: Simplify right side
    1,149.73x = 723,071.13
  5. Step 5: Solve for x
    x = 723,071.13/1,149.73
  6. Step 6: Final answer
    x = 628.91

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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.