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Finding the Fourth Proportional to 1,193.81, 1,648.22 and 820.67

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Solution

The fourth proportional to 1,193.81, 1,648.22 and 820.67 is: 1,133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.81 : 1,648.22 = 820.67 : x
  2. Step 2: Convert to fraction form
    1,193.81/1,648.22 = 820.67/x
  3. Step 3: Cross multiply
    1,193.81x = 1,648.22 × 820.67
  4. Step 4: Simplify right side
    1,193.81x = 1,352,632.36
  5. Step 5: Solve for x
    x = 1,352,632.36/1,193.81
  6. Step 6: Final answer
    x = 1,133.04

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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.