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Finding the Fourth Proportional to 1,600.85, 2,401.52 and 810.56

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Solution

The fourth proportional to 1,600.85, 2,401.52 and 810.56 is: 1,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.85 : 2,401.52 = 810.56 : x
  2. Step 2: Convert to fraction form
    1,600.85/2,401.52 = 810.56/x
  3. Step 3: Cross multiply
    1,600.85x = 2,401.52 × 810.56
  4. Step 4: Simplify right side
    1,600.85x = 1,946,578.00
  5. Step 5: Solve for x
    x = 1,946,578.00/1,600.85
  6. Step 6: Final answer
    x = 1,215.96

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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.