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Finding the Fourth Proportional to 1,179.42, 1,767.97 and 398.71

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Solution

The fourth proportional to 1,179.42, 1,767.97 and 398.71 is: 597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.42 : 1,767.97 = 398.71 : x
  2. Step 2: Convert to fraction form
    1,179.42/1,767.97 = 398.71/x
  3. Step 3: Cross multiply
    1,179.42x = 1,767.97 × 398.71
  4. Step 4: Simplify right side
    1,179.42x = 704,907.32
  5. Step 5: Solve for x
    x = 704,907.32/1,179.42
  6. Step 6: Final answer
    x = 597.67

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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.