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Finding the Fourth Proportional to 949.22, 1,308.66 and 852.02

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Solution

The fourth proportional to 949.22, 1,308.66 and 852.02 is: 1,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.22 : 1,308.66 = 852.02 : x
  2. Step 2: Convert to fraction form
    949.22/1,308.66 = 852.02/x
  3. Step 3: Cross multiply
    949.22x = 1,308.66 × 852.02
  4. Step 4: Simplify right side
    949.22x = 1,115,004.49
  5. Step 5: Solve for x
    x = 1,115,004.49/949.22
  6. Step 6: Final answer
    x = 1,174.65

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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.