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Finding the Fourth Proportional to 1,739.56, 2,608.98 and 643.90

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Solution

The fourth proportional to 1,739.56, 2,608.98 and 643.90 is: 965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.56 : 2,608.98 = 643.90 : x
  2. Step 2: Convert to fraction form
    1,739.56/2,608.98 = 643.90/x
  3. Step 3: Cross multiply
    1,739.56x = 2,608.98 × 643.90
  4. Step 4: Simplify right side
    1,739.56x = 1,679,922.22
  5. Step 5: Solve for x
    x = 1,679,922.22/1,739.56
  6. Step 6: Final answer
    x = 965.72

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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.