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Finding the Fourth Proportional to 955.82, 1,319.43 and 809.21

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Solution

The fourth proportional to 955.82, 1,319.43 and 809.21 is: 1,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.82 : 1,319.43 = 809.21 : x
  2. Step 2: Convert to fraction form
    955.82/1,319.43 = 809.21/x
  3. Step 3: Cross multiply
    955.82x = 1,319.43 × 809.21
  4. Step 4: Simplify right side
    955.82x = 1,067,695.95
  5. Step 5: Solve for x
    x = 1,067,695.95/955.82
  6. Step 6: Final answer
    x = 1,117.05

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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.