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Finding the Fourth Proportional to 1,759, 2,638.50 and 733

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Solution

The fourth proportional to 1,759, 2,638.50 and 733 is: 1,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759 : 2,638.50 = 733 : x
  2. Step 2: Convert to fraction form
    1,759/2,638.50 = 733/x
  3. Step 3: Cross multiply
    1,759x = 2,638.50 × 733
  4. Step 4: Simplify right side
    1,759x = 1,934,020.50
  5. Step 5: Solve for x
    x = 1,934,020.50/1,759
  6. Step 6: Final answer
    x = 1,099.50

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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.