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Finding the Fourth Proportional to 828.76, 1,243.14 and 774.08

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Solution

The fourth proportional to 828.76, 1,243.14 and 774.08 is: 1,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.76 : 1,243.14 = 774.08 : x
  2. Step 2: Convert to fraction form
    828.76/1,243.14 = 774.08/x
  3. Step 3: Cross multiply
    828.76x = 1,243.14 × 774.08
  4. Step 4: Simplify right side
    828.76x = 962,289.81
  5. Step 5: Solve for x
    x = 962,289.81/828.76
  6. Step 6: Final answer
    x = 1,161.12

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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.