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Finding the Fourth Proportional to 2,003.31, 3,004.95 and 616.98

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Solution

The fourth proportional to 2,003.31, 3,004.95 and 616.98 is: 925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.31 : 3,004.95 = 616.98 : x
  2. Step 2: Convert to fraction form
    2,003.31/3,004.95 = 616.98/x
  3. Step 3: Cross multiply
    2,003.31x = 3,004.95 × 616.98
  4. Step 4: Simplify right side
    2,003.31x = 1,853,994.05
  5. Step 5: Solve for x
    x = 1,853,994.05/2,003.31
  6. Step 6: Final answer
    x = 925.47

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1.5x scale

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.