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Finding the Fourth Proportional to 949.94, 1,311.03 and 577.06

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Solution

The fourth proportional to 949.94, 1,311.03 and 577.06 is: 796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.94 : 1,311.03 = 577.06 : x
  2. Step 2: Convert to fraction form
    949.94/1,311.03 = 577.06/x
  3. Step 3: Cross multiply
    949.94x = 1,311.03 × 577.06
  4. Step 4: Simplify right side
    949.94x = 756,542.97
  5. Step 5: Solve for x
    x = 756,542.97/949.94
  6. Step 6: Final answer
    x = 796.41

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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.