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Finding the Fourth Proportional to 851.87, 1,270.13 and 830.60

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Solution

The fourth proportional to 851.87, 1,270.13 and 830.60 is: 1,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.87 : 1,270.13 = 830.60 : x
  2. Step 2: Convert to fraction form
    851.87/1,270.13 = 830.60/x
  3. Step 3: Cross multiply
    851.87x = 1,270.13 × 830.60
  4. Step 4: Simplify right side
    851.87x = 1,054,976.05
  5. Step 5: Solve for x
    x = 1,054,976.05/851.87
  6. Step 6: Final answer
    x = 1,238.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.