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Finding the Fourth Proportional to 850.39, 1,274.21 and 713.70

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Solution

The fourth proportional to 850.39, 1,274.21 and 713.70 is: 1,069.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.39 : 1,274.21 = 713.70 : x
  2. Step 2: Convert to fraction form
    850.39/1,274.21 = 713.70/x
  3. Step 3: Cross multiply
    850.39x = 1,274.21 × 713.70
  4. Step 4: Simplify right side
    850.39x = 909,403.68
  5. Step 5: Solve for x
    x = 909,403.68/850.39
  6. Step 6: Final answer
    x = 1,069.40

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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.