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Finding the Fourth Proportional to 1,285.54, 1,772.72 and 1,099.65

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Solution

The fourth proportional to 1,285.54, 1,772.72 and 1,099.65 is: 1,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.54 : 1,772.72 = 1,099.65 : x
  2. Step 2: Convert to fraction form
    1,285.54/1,772.72 = 1,099.65/x
  3. Step 3: Cross multiply
    1,285.54x = 1,772.72 × 1,099.65
  4. Step 4: Simplify right side
    1,285.54x = 1,949,365.59
  5. Step 5: Solve for x
    x = 1,949,365.59/1,285.54
  6. Step 6: Final answer
    x = 1,516.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.