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Finding the Fourth Proportional to 2,029.75, 3,044.63 and 490.75

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Solution

The fourth proportional to 2,029.75, 3,044.63 and 490.75 is: 736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.75 : 3,044.63 = 490.75 : x
  2. Step 2: Convert to fraction form
    2,029.75/3,044.63 = 490.75/x
  3. Step 3: Cross multiply
    2,029.75x = 3,044.63 × 490.75
  4. Step 4: Simplify right side
    2,029.75x = 1,494,152.17
  5. Step 5: Solve for x
    x = 1,494,152.17/2,029.75
  6. Step 6: Final answer
    x = 736.13

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Half scale
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Double scale
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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.