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Finding the Fourth Proportional to 850.42, 1,273.20 and 576.10

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Solution

The fourth proportional to 850.42, 1,273.20 and 576.10 is: 862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.42 : 1,273.20 = 576.10 : x
  2. Step 2: Convert to fraction form
    850.42/1,273.20 = 576.10/x
  3. Step 3: Cross multiply
    850.42x = 1,273.20 × 576.10
  4. Step 4: Simplify right side
    850.42x = 733,490.52
  5. Step 5: Solve for x
    x = 733,490.52/850.42
  6. Step 6: Final answer
    x = 862.50

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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.