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Finding the Fourth Proportional to 1,193.85, 1,648.26 and 820.71

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Solution

The fourth proportional to 1,193.85, 1,648.26 and 820.71 is: 1,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.85 : 1,648.26 = 820.71 : x
  2. Step 2: Convert to fraction form
    1,193.85/1,648.26 = 820.71/x
  3. Step 3: Cross multiply
    1,193.85x = 1,648.26 × 820.71
  4. Step 4: Simplify right side
    1,193.85x = 1,352,743.46
  5. Step 5: Solve for x
    x = 1,352,743.46/1,193.85
  6. Step 6: Final answer
    x = 1,133.09

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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.