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Finding the Fourth Proportional to 857.22, 1,290.82 and 727.68

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Solution

The fourth proportional to 857.22, 1,290.82 and 727.68 is: 1,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.22 : 1,290.82 = 727.68 : x
  2. Step 2: Convert to fraction form
    857.22/1,290.82 = 727.68/x
  3. Step 3: Cross multiply
    857.22x = 1,290.82 × 727.68
  4. Step 4: Simplify right side
    857.22x = 939,303.90
  5. Step 5: Solve for x
    x = 939,303.90/857.22
  6. Step 6: Final answer
    x = 1,095.76

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1.5x scale

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.