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Finding the Fourth Proportional to 1,199.57, 1,652.94 and 919.79

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Solution

The fourth proportional to 1,199.57, 1,652.94 and 919.79 is: 1,267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.57 : 1,652.94 = 919.79 : x
  2. Step 2: Convert to fraction form
    1,199.57/1,652.94 = 919.79/x
  3. Step 3: Cross multiply
    1,199.57x = 1,652.94 × 919.79
  4. Step 4: Simplify right side
    1,199.57x = 1,520,357.68
  5. Step 5: Solve for x
    x = 1,520,357.68/1,199.57
  6. Step 6: Final answer
    x = 1,267.42

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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.