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Finding the Fourth Proportional to 1,739.99, 2,608.45 and 644.10

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Solution

The fourth proportional to 1,739.99, 2,608.45 and 644.10 is: 965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.99 : 2,608.45 = 644.10 : x
  2. Step 2: Convert to fraction form
    1,739.99/2,608.45 = 644.10/x
  3. Step 3: Cross multiply
    1,739.99x = 2,608.45 × 644.10
  4. Step 4: Simplify right side
    1,739.99x = 1,680,091.25
  5. Step 5: Solve for x
    x = 1,680,091.25/1,739.99
  6. Step 6: Final answer
    x = 965.57

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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.