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Finding the Fourth Proportional to 1,285.70, 1,917.25 and 1,274.00

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Solution

The fourth proportional to 1,285.70, 1,917.25 and 1,274.00 is: 1,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.70 : 1,917.25 = 1,274.00 : x
  2. Step 2: Convert to fraction form
    1,285.70/1,917.25 = 1,274.00/x
  3. Step 3: Cross multiply
    1,285.70x = 1,917.25 × 1,274.00
  4. Step 4: Simplify right side
    1,285.70x = 2,442,581.68
  5. Step 5: Solve for x
    x = 2,442,581.68/1,285.70
  6. Step 6: Final answer
    x = 1,899.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.