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Finding the Fourth Proportional to 1,149.65, 1,724.53 and 419.20

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Solution

The fourth proportional to 1,149.65, 1,724.53 and 419.20 is: 628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.65 : 1,724.53 = 419.20 : x
  2. Step 2: Convert to fraction form
    1,149.65/1,724.53 = 419.20/x
  3. Step 3: Cross multiply
    1,149.65x = 1,724.53 × 419.20
  4. Step 4: Simplify right side
    1,149.65x = 722,922.98
  5. Step 5: Solve for x
    x = 722,922.98/1,149.65
  6. Step 6: Final answer
    x = 628.82

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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.