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Finding the Fourth Proportional to 2,003.43, 3,005.60 and 616.89

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Solution

The fourth proportional to 2,003.43, 3,005.60 and 616.89 is: 925.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.43 : 3,005.60 = 616.89 : x
  2. Step 2: Convert to fraction form
    2,003.43/3,005.60 = 616.89/x
  3. Step 3: Cross multiply
    2,003.43x = 3,005.60 × 616.89
  4. Step 4: Simplify right side
    2,003.43x = 1,854,124.58
  5. Step 5: Solve for x
    x = 1,854,124.58/2,003.43
  6. Step 6: Final answer
    x = 925.48

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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.