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Finding the Fourth Proportional to 1,600.58, 2,209.86 and 1,289.86

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Solution

The fourth proportional to 1,600.58, 2,209.86 and 1,289.86 is: 1,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.58 : 2,209.86 = 1,289.86 : x
  2. Step 2: Convert to fraction form
    1,600.58/2,209.86 = 1,289.86/x
  3. Step 3: Cross multiply
    1,600.58x = 2,209.86 × 1,289.86
  4. Step 4: Simplify right side
    1,600.58x = 2,850,404.49
  5. Step 5: Solve for x
    x = 2,850,404.49/1,600.58
  6. Step 6: Final answer
    x = 1,780.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.