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Finding the Fourth Proportional to 869.63, 1,199.29 and 806.76

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Solution

The fourth proportional to 869.63, 1,199.29 and 806.76 is: 1,112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.63 : 1,199.29 = 806.76 : x
  2. Step 2: Convert to fraction form
    869.63/1,199.29 = 806.76/x
  3. Step 3: Cross multiply
    869.63x = 1,199.29 × 806.76
  4. Step 4: Simplify right side
    869.63x = 967,529.17
  5. Step 5: Solve for x
    x = 967,529.17/869.63
  6. Step 6: Final answer
    x = 1,112.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.