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Finding the Fourth Proportional to 931.72, 1,396.80 and 727.19

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Solution

The fourth proportional to 931.72, 1,396.80 and 727.19 is: 1,090.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.72 : 1,396.80 = 727.19 : x
  2. Step 2: Convert to fraction form
    931.72/1,396.80 = 727.19/x
  3. Step 3: Cross multiply
    931.72x = 1,396.80 × 727.19
  4. Step 4: Simplify right side
    931.72x = 1,015,738.99
  5. Step 5: Solve for x
    x = 1,015,738.99/931.72
  6. Step 6: Final answer
    x = 1,090.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.