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Finding the Fourth Proportional to 1,600.05, 2,399.46 and 489.26

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Solution

The fourth proportional to 1,600.05, 2,399.46 and 489.26 is: 733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.05 : 2,399.46 = 489.26 : x
  2. Step 2: Convert to fraction form
    1,600.05/2,399.46 = 489.26/x
  3. Step 3: Cross multiply
    1,600.05x = 2,399.46 × 489.26
  4. Step 4: Simplify right side
    1,600.05x = 1,173,959.80
  5. Step 5: Solve for x
    x = 1,173,959.80/1,600.05
  6. Step 6: Final answer
    x = 733.70

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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.