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Finding the Fourth Proportional to 850.14, 1,274.31 and 438.84

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Solution

The fourth proportional to 850.14, 1,274.31 and 438.84 is: 657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.14 : 1,274.31 = 438.84 : x
  2. Step 2: Convert to fraction form
    850.14/1,274.31 = 438.84/x
  3. Step 3: Cross multiply
    850.14x = 1,274.31 × 438.84
  4. Step 4: Simplify right side
    850.14x = 559,218.20
  5. Step 5: Solve for x
    x = 559,218.20/850.14
  6. Step 6: Final answer
    x = 657.80

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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.