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Finding the Fourth Proportional to 1,600.57, 2,400.83 and 414.61

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Solution

The fourth proportional to 1,600.57, 2,400.83 and 414.61 is: 621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.57 : 2,400.83 = 414.61 : x
  2. Step 2: Convert to fraction form
    1,600.57/2,400.83 = 414.61/x
  3. Step 3: Cross multiply
    1,600.57x = 2,400.83 × 414.61
  4. Step 4: Simplify right side
    1,600.57x = 995,403.16
  5. Step 5: Solve for x
    x = 995,403.16/1,600.57
  6. Step 6: Final answer
    x = 621.91

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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.