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Finding the Fourth Proportional to 2,029.49, 3,044.45 and 643.02

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Solution

The fourth proportional to 2,029.49, 3,044.45 and 643.02 is: 964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.49 : 3,044.45 = 643.02 : x
  2. Step 2: Convert to fraction form
    2,029.49/3,044.45 = 643.02/x
  3. Step 3: Cross multiply
    2,029.49x = 3,044.45 × 643.02
  4. Step 4: Simplify right side
    2,029.49x = 1,957,642.24
  5. Step 5: Solve for x
    x = 1,957,642.24/2,029.49
  6. Step 6: Final answer
    x = 964.60

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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.