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Finding the Fourth Proportional to 851.45, 1,279.20 and 762.35

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Solution

The fourth proportional to 851.45, 1,279.20 and 762.35 is: 1,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.45 : 1,279.20 = 762.35 : x
  2. Step 2: Convert to fraction form
    851.45/1,279.20 = 762.35/x
  3. Step 3: Cross multiply
    851.45x = 1,279.20 × 762.35
  4. Step 4: Simplify right side
    851.45x = 975,198.12
  5. Step 5: Solve for x
    x = 975,198.12/851.45
  6. Step 6: Final answer
    x = 1,145.34

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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.