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Finding the Fourth Proportional to 1,122.93, 1,684.98 and 1,119.42

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Solution

The fourth proportional to 1,122.93, 1,684.98 and 1,119.42 is: 1,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.93 : 1,684.98 = 1,119.42 : x
  2. Step 2: Convert to fraction form
    1,122.93/1,684.98 = 1,119.42/x
  3. Step 3: Cross multiply
    1,122.93x = 1,684.98 × 1,119.42
  4. Step 4: Simplify right side
    1,122.93x = 1,886,200.31
  5. Step 5: Solve for x
    x = 1,886,200.31/1,122.93
  6. Step 6: Final answer
    x = 1,679.71

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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.