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Finding the Fourth Proportional to 608, 838.74 and 383.83

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Solution

The fourth proportional to 608, 838.74 and 383.83 is: 529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    608 : 838.74 = 383.83 : x
  2. Step 2: Convert to fraction form
    608/838.74 = 383.83/x
  3. Step 3: Cross multiply
    608x = 838.74 × 383.83
  4. Step 4: Simplify right side
    608x = 321,933.57
  5. Step 5: Solve for x
    x = 321,933.57/608
  6. Step 6: Final answer
    x = 529.50

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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.