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Finding the Fourth Proportional to 1,759, 2,638.50 and 460.44

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Solution

The fourth proportional to 1,759, 2,638.50 and 460.44 is: 690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759 : 2,638.50 = 460.44 : x
  2. Step 2: Convert to fraction form
    1,759/2,638.50 = 460.44/x
  3. Step 3: Cross multiply
    1,759x = 2,638.50 × 460.44
  4. Step 4: Simplify right side
    1,759x = 1,214,870.94
  5. Step 5: Solve for x
    x = 1,214,870.94/1,759
  6. Step 6: Final answer
    x = 690.66

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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.