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Finding the Fourth Proportional to 2,003.51, 3,005.27 and 616.79

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Solution

The fourth proportional to 2,003.51, 3,005.27 and 616.79 is: 925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.51 : 3,005.27 = 616.79 : x
  2. Step 2: Convert to fraction form
    2,003.51/3,005.27 = 616.79/x
  3. Step 3: Cross multiply
    2,003.51x = 3,005.27 × 616.79
  4. Step 4: Simplify right side
    2,003.51x = 1,853,620.48
  5. Step 5: Solve for x
    x = 1,853,620.48/2,003.51
  6. Step 6: Final answer
    x = 925.19

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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.