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Finding the Fourth Proportional to 1,759.64, 2,640.06 and 1,488.29

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Solution

The fourth proportional to 1,759.64, 2,640.06 and 1,488.29 is: 2,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.64 : 2,640.06 = 1,488.29 : x
  2. Step 2: Convert to fraction form
    1,759.64/2,640.06 = 1,488.29/x
  3. Step 3: Cross multiply
    1,759.64x = 2,640.06 × 1,488.29
  4. Step 4: Simplify right side
    1,759.64x = 3,929,161.70
  5. Step 5: Solve for x
    x = 3,929,161.70/1,759.64
  6. Step 6: Final answer
    x = 2,232.94

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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.