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Finding the Fourth Proportional to 1,749.26, 2,623.99 and 579.28

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Solution

The fourth proportional to 1,749.26, 2,623.99 and 579.28 is: 868.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.26 : 2,623.99 = 579.28 : x
  2. Step 2: Convert to fraction form
    1,749.26/2,623.99 = 579.28/x
  3. Step 3: Cross multiply
    1,749.26x = 2,623.99 × 579.28
  4. Step 4: Simplify right side
    1,749.26x = 1,520,024.93
  5. Step 5: Solve for x
    x = 1,520,024.93/1,749.26
  6. Step 6: Final answer
    x = 868.95

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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.