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Finding the Fourth Proportional to 2,029.97, 3,044.93 and 643.30

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Solution

The fourth proportional to 2,029.97, 3,044.93 and 643.30 is: 964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.97 : 3,044.93 = 643.30 : x
  2. Step 2: Convert to fraction form
    2,029.97/3,044.93 = 643.30/x
  3. Step 3: Cross multiply
    2,029.97x = 3,044.93 × 643.30
  4. Step 4: Simplify right side
    2,029.97x = 1,958,803.47
  5. Step 5: Solve for x
    x = 1,958,803.47/2,029.97
  6. Step 6: Final answer
    x = 964.94

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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.