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Finding the Fourth Proportional to 1,149.66, 1,724.07 and 419.02

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Solution

The fourth proportional to 1,149.66, 1,724.07 and 419.02 is: 628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.66 : 1,724.07 = 419.02 : x
  2. Step 2: Convert to fraction form
    1,149.66/1,724.07 = 419.02/x
  3. Step 3: Cross multiply
    1,149.66x = 1,724.07 × 419.02
  4. Step 4: Simplify right side
    1,149.66x = 722,419.81
  5. Step 5: Solve for x
    x = 722,419.81/1,149.66
  6. Step 6: Final answer
    x = 628.38

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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.