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Finding the Fourth Proportional to 1,128.23, 1,692.33 and 397.81

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Solution

The fourth proportional to 1,128.23, 1,692.33 and 397.81 is: 596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.23 : 1,692.33 = 397.81 : x
  2. Step 2: Convert to fraction form
    1,128.23/1,692.33 = 397.81/x
  3. Step 3: Cross multiply
    1,128.23x = 1,692.33 × 397.81
  4. Step 4: Simplify right side
    1,128.23x = 673,226.42
  5. Step 5: Solve for x
    x = 673,226.42/1,128.23
  6. Step 6: Final answer
    x = 596.71

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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.