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Finding the Fourth Proportional to 769.36, 1,151.53 and 421.82

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Solution

The fourth proportional to 769.36, 1,151.53 and 421.82 is: 631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.36 : 1,151.53 = 421.82 : x
  2. Step 2: Convert to fraction form
    769.36/1,151.53 = 421.82/x
  3. Step 3: Cross multiply
    769.36x = 1,151.53 × 421.82
  4. Step 4: Simplify right side
    769.36x = 485,738.38
  5. Step 5: Solve for x
    x = 485,738.38/769.36
  6. Step 6: Final answer
    x = 631.35

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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.