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Finding the Fourth Proportional to 1,471.91, 2,029.19 and 999.07

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Solution

The fourth proportional to 1,471.91, 2,029.19 and 999.07 is: 1,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.91 : 2,029.19 = 999.07 : x
  2. Step 2: Convert to fraction form
    1,471.91/2,029.19 = 999.07/x
  3. Step 3: Cross multiply
    1,471.91x = 2,029.19 × 999.07
  4. Step 4: Simplify right side
    1,471.91x = 2,027,292.78
  5. Step 5: Solve for x
    x = 2,027,292.78/1,471.91
  6. Step 6: Final answer
    x = 1,377.33

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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.