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Finding the Fourth Proportional to 829.77, 1,243.06 and 418.42

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Solution

The fourth proportional to 829.77, 1,243.06 and 418.42 is: 626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.77 : 1,243.06 = 418.42 : x
  2. Step 2: Convert to fraction form
    829.77/1,243.06 = 418.42/x
  3. Step 3: Cross multiply
    829.77x = 1,243.06 × 418.42
  4. Step 4: Simplify right side
    829.77x = 520,121.17
  5. Step 5: Solve for x
    x = 520,121.17/829.77
  6. Step 6: Final answer
    x = 626.83

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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.