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Finding the Fourth Proportional to 1,150.83, 1,724.42 and 841.25

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Solution

The fourth proportional to 1,150.83, 1,724.42 and 841.25 is: 1,260.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.83 : 1,724.42 = 841.25 : x
  2. Step 2: Convert to fraction form
    1,150.83/1,724.42 = 841.25/x
  3. Step 3: Cross multiply
    1,150.83x = 1,724.42 × 841.25
  4. Step 4: Simplify right side
    1,150.83x = 1,450,674.74
  5. Step 5: Solve for x
    x = 1,450,674.74/1,150.83
  6. Step 6: Final answer
    x = 1,260.55

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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.