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Finding the Fourth Proportional to 2,029.29, 3,044.36 and 643.02

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Solution

The fourth proportional to 2,029.29, 3,044.36 and 643.02 is: 964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.29 : 3,044.36 = 643.02 : x
  2. Step 2: Convert to fraction form
    2,029.29/3,044.36 = 643.02/x
  3. Step 3: Cross multiply
    2,029.29x = 3,044.36 × 643.02
  4. Step 4: Simplify right side
    2,029.29x = 1,957,584.37
  5. Step 5: Solve for x
    x = 1,957,584.37/2,029.29
  6. Step 6: Final answer
    x = 964.66

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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.