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Finding the Fourth Proportional to 1,758.70, 2,642.16 and 1,028.79

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Solution

The fourth proportional to 1,758.70, 2,642.16 and 1,028.79 is: 1,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.70 : 2,642.16 = 1,028.79 : x
  2. Step 2: Convert to fraction form
    1,758.70/2,642.16 = 1,028.79/x
  3. Step 3: Cross multiply
    1,758.70x = 2,642.16 × 1,028.79
  4. Step 4: Simplify right side
    1,758.70x = 2,718,227.79
  5. Step 5: Solve for x
    x = 2,718,227.79/1,758.70
  6. Step 6: Final answer
    x = 1,545.59

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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.