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Finding the Fourth Proportional to 851.99, 1,283.13 and 755.69

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Solution

The fourth proportional to 851.99, 1,283.13 and 755.69 is: 1,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.99 : 1,283.13 = 755.69 : x
  2. Step 2: Convert to fraction form
    851.99/1,283.13 = 755.69/x
  3. Step 3: Cross multiply
    851.99x = 1,283.13 × 755.69
  4. Step 4: Simplify right side
    851.99x = 969,642.09
  5. Step 5: Solve for x
    x = 969,642.09/851.99
  6. Step 6: Final answer
    x = 1,138.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.