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Finding the Fourth Proportional to 1,699.22, 2,548.44 and 659.18

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Solution

The fourth proportional to 1,699.22, 2,548.44 and 659.18 is: 988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.22 : 2,548.44 = 659.18 : x
  2. Step 2: Convert to fraction form
    1,699.22/2,548.44 = 659.18/x
  3. Step 3: Cross multiply
    1,699.22x = 2,548.44 × 659.18
  4. Step 4: Simplify right side
    1,699.22x = 1,679,867.94
  5. Step 5: Solve for x
    x = 1,679,867.94/1,699.22
  6. Step 6: Final answer
    x = 988.61

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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.