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Finding the Fourth Proportional to 1,601, 2,401.50 and 689

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Solution

The fourth proportional to 1,601, 2,401.50 and 689 is: 1,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601 : 2,401.50 = 689 : x
  2. Step 2: Convert to fraction form
    1,601/2,401.50 = 689/x
  3. Step 3: Cross multiply
    1,601x = 2,401.50 × 689
  4. Step 4: Simplify right side
    1,601x = 1,654,633.50
  5. Step 5: Solve for x
    x = 1,654,633.50/1,601
  6. Step 6: Final answer
    x = 1,033.50

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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.