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Finding the Fourth Proportional to 1,322.63, 1,981.82 and 775.27

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Solution

The fourth proportional to 1,322.63, 1,981.82 and 775.27 is: 1,161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.63 : 1,981.82 = 775.27 : x
  2. Step 2: Convert to fraction form
    1,322.63/1,981.82 = 775.27/x
  3. Step 3: Cross multiply
    1,322.63x = 1,981.82 × 775.27
  4. Step 4: Simplify right side
    1,322.63x = 1,536,445.65
  5. Step 5: Solve for x
    x = 1,536,445.65/1,322.63
  6. Step 6: Final answer
    x = 1,161.66

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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.