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Finding the Fourth Proportional to 850.34, 1,274.63 and 576.45

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Solution

The fourth proportional to 850.34, 1,274.63 and 576.45 is: 864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.34 : 1,274.63 = 576.45 : x
  2. Step 2: Convert to fraction form
    850.34/1,274.63 = 576.45/x
  3. Step 3: Cross multiply
    850.34x = 1,274.63 × 576.45
  4. Step 4: Simplify right side
    850.34x = 734,757.58
  5. Step 5: Solve for x
    x = 734,757.58/850.34
  6. Step 6: Final answer
    x = 864.07

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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.