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Finding the Fourth Proportional to 1,121.34, 1,682.25 and 633.42

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Solution

The fourth proportional to 1,121.34, 1,682.25 and 633.42 is: 950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.34 : 1,682.25 = 633.42 : x
  2. Step 2: Convert to fraction form
    1,121.34/1,682.25 = 633.42/x
  3. Step 3: Cross multiply
    1,121.34x = 1,682.25 × 633.42
  4. Step 4: Simplify right side
    1,121.34x = 1,065,570.80
  5. Step 5: Solve for x
    x = 1,065,570.80/1,121.34
  6. Step 6: Final answer
    x = 950.27

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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.