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Finding the Fourth Proportional to 1,750.98, 2,626.98 and 518.42

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Solution

The fourth proportional to 1,750.98, 2,626.98 and 518.42 is: 777.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.98 : 2,626.98 = 518.42 : x
  2. Step 2: Convert to fraction form
    1,750.98/2,626.98 = 518.42/x
  3. Step 3: Cross multiply
    1,750.98x = 2,626.98 × 518.42
  4. Step 4: Simplify right side
    1,750.98x = 1,361,863.24
  5. Step 5: Solve for x
    x = 1,361,863.24/1,750.98
  6. Step 6: Final answer
    x = 777.77

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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.