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Finding the Fourth Proportional to 1,260.83, 1,887.69 and 951.70

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Solution

The fourth proportional to 1,260.83, 1,887.69 and 951.70 is: 1,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.83 : 1,887.69 = 951.70 : x
  2. Step 2: Convert to fraction form
    1,260.83/1,887.69 = 951.70/x
  3. Step 3: Cross multiply
    1,260.83x = 1,887.69 × 951.70
  4. Step 4: Simplify right side
    1,260.83x = 1,796,514.57
  5. Step 5: Solve for x
    x = 1,796,514.57/1,260.83
  6. Step 6: Final answer
    x = 1,424.87

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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.