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Finding the Fourth Proportional to 940.81, 1,409.16 and 775.76

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Solution

The fourth proportional to 940.81, 1,409.16 and 775.76 is: 1,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.81 : 1,409.16 = 775.76 : x
  2. Step 2: Convert to fraction form
    940.81/1,409.16 = 775.76/x
  3. Step 3: Cross multiply
    940.81x = 1,409.16 × 775.76
  4. Step 4: Simplify right side
    940.81x = 1,093,169.96
  5. Step 5: Solve for x
    x = 1,093,169.96/940.81
  6. Step 6: Final answer
    x = 1,161.95

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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.