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Finding the Fourth Proportional to 1,700.75, 2,549.91 and 659.87

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Solution

The fourth proportional to 1,700.75, 2,549.91 and 659.87 is: 989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.75 : 2,549.91 = 659.87 : x
  2. Step 2: Convert to fraction form
    1,700.75/2,549.91 = 659.87/x
  3. Step 3: Cross multiply
    1,700.75x = 2,549.91 × 659.87
  4. Step 4: Simplify right side
    1,700.75x = 1,682,615.57
  5. Step 5: Solve for x
    x = 1,682,615.57/1,700.75
  6. Step 6: Final answer
    x = 989.34

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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.