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Finding the Fourth Proportional to 850.89, 1,274.40 and 752.37

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Solution

The fourth proportional to 850.89, 1,274.40 and 752.37 is: 1,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.89 : 1,274.40 = 752.37 : x
  2. Step 2: Convert to fraction form
    850.89/1,274.40 = 752.37/x
  3. Step 3: Cross multiply
    850.89x = 1,274.40 × 752.37
  4. Step 4: Simplify right side
    850.89x = 958,820.33
  5. Step 5: Solve for x
    x = 958,820.33/850.89
  6. Step 6: Final answer
    x = 1,126.84

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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.