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Finding the Fourth Proportional to 1,600.81, 2,401.41 and 778.39

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Solution

The fourth proportional to 1,600.81, 2,401.41 and 778.39 is: 1,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.81 : 2,401.41 = 778.39 : x
  2. Step 2: Convert to fraction form
    1,600.81/2,401.41 = 778.39/x
  3. Step 3: Cross multiply
    1,600.81x = 2,401.41 × 778.39
  4. Step 4: Simplify right side
    1,600.81x = 1,869,233.53
  5. Step 5: Solve for x
    x = 1,869,233.53/1,600.81
  6. Step 6: Final answer
    x = 1,167.68

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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.