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Finding the Fourth Proportional to 1,199.49, 1,797.57 and 650.49

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Solution

The fourth proportional to 1,199.49, 1,797.57 and 650.49 is: 974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.49 : 1,797.57 = 650.49 : x
  2. Step 2: Convert to fraction form
    1,199.49/1,797.57 = 650.49/x
  3. Step 3: Cross multiply
    1,199.49x = 1,797.57 × 650.49
  4. Step 4: Simplify right side
    1,199.49x = 1,169,301.31
  5. Step 5: Solve for x
    x = 1,169,301.31/1,199.49
  6. Step 6: Final answer
    x = 974.83

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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.