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Finding the Fourth Proportional to 1,208.34, 1,812.78 and 438.84

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Solution

The fourth proportional to 1,208.34, 1,812.78 and 438.84 is: 658.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.34 : 1,812.78 = 438.84 : x
  2. Step 2: Convert to fraction form
    1,208.34/1,812.78 = 438.84/x
  3. Step 3: Cross multiply
    1,208.34x = 1,812.78 × 438.84
  4. Step 4: Simplify right side
    1,208.34x = 795,520.38
  5. Step 5: Solve for x
    x = 795,520.38/1,208.34
  6. Step 6: Final answer
    x = 658.36

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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.