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Finding the Fourth Proportional to 1,449.25, 2,000.83 and 952.75

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Solution

The fourth proportional to 1,449.25, 2,000.83 and 952.75 is: 1,315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.25 : 2,000.83 = 952.75 : x
  2. Step 2: Convert to fraction form
    1,449.25/2,000.83 = 952.75/x
  3. Step 3: Cross multiply
    1,449.25x = 2,000.83 × 952.75
  4. Step 4: Simplify right side
    1,449.25x = 1,906,290.78
  5. Step 5: Solve for x
    x = 1,906,290.78/1,449.25
  6. Step 6: Final answer
    x = 1,315.36

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,450.25, 2,002.21 and 953.75
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.