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Finding the Fourth Proportional to 1,899.75, 2,849.60 and 512.97

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Solution

The fourth proportional to 1,899.75, 2,849.60 and 512.97 is: 769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.75 : 2,849.60 = 512.97 : x
  2. Step 2: Convert to fraction form
    1,899.75/2,849.60 = 512.97/x
  3. Step 3: Cross multiply
    1,899.75x = 2,849.60 × 512.97
  4. Step 4: Simplify right side
    1,899.75x = 1,461,759.31
  5. Step 5: Solve for x
    x = 1,461,759.31/1,899.75
  6. Step 6: Final answer
    x = 769.45

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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.