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Finding the Fourth Proportional to 828.84, 1,141.20 and 704.22

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Solution

The fourth proportional to 828.84, 1,141.20 and 704.22 is: 969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.84 : 1,141.20 = 704.22 : x
  2. Step 2: Convert to fraction form
    828.84/1,141.20 = 704.22/x
  3. Step 3: Cross multiply
    828.84x = 1,141.20 × 704.22
  4. Step 4: Simplify right side
    828.84x = 803,655.86
  5. Step 5: Solve for x
    x = 803,655.86/828.84
  6. Step 6: Final answer
    x = 969.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.