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Finding the Fourth Proportional to 1,757.70, 2,640.65 and 1,027.79

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Solution

The fourth proportional to 1,757.70, 2,640.65 and 1,027.79 is: 1,544.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.70 : 2,640.65 = 1,027.79 : x
  2. Step 2: Convert to fraction form
    1,757.70/2,640.65 = 1,027.79/x
  3. Step 3: Cross multiply
    1,757.70x = 2,640.65 × 1,027.79
  4. Step 4: Simplify right side
    1,757.70x = 2,714,041.46
  5. Step 5: Solve for x
    x = 2,714,041.46/1,757.70
  6. Step 6: Final answer
    x = 1,544.08

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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.