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Finding the Fourth Proportional to 822.10, 1,129.76 and 784.03

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Solution

The fourth proportional to 822.10, 1,129.76 and 784.03 is: 1,077.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.10 : 1,129.76 = 784.03 : x
  2. Step 2: Convert to fraction form
    822.10/1,129.76 = 784.03/x
  3. Step 3: Cross multiply
    822.10x = 1,129.76 × 784.03
  4. Step 4: Simplify right side
    822.10x = 885,765.73
  5. Step 5: Solve for x
    x = 885,765.73/822.10
  6. Step 6: Final answer
    x = 1,077.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.