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Finding the Fourth Proportional to 1,724.72, 2,585.02 and 627.81

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Solution

The fourth proportional to 1,724.72, 2,585.02 and 627.81 is: 940.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.72 : 2,585.02 = 627.81 : x
  2. Step 2: Convert to fraction form
    1,724.72/2,585.02 = 627.81/x
  3. Step 3: Cross multiply
    1,724.72x = 2,585.02 × 627.81
  4. Step 4: Simplify right side
    1,724.72x = 1,622,890.14
  5. Step 5: Solve for x
    x = 1,622,890.14/1,724.72
  6. Step 6: Final answer
    x = 940.96

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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.