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Finding the Fourth Proportional to 822.28, 1,234.64 and 782.64

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Solution

The fourth proportional to 822.28, 1,234.64 and 782.64 is: 1,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.28 : 1,234.64 = 782.64 : x
  2. Step 2: Convert to fraction form
    822.28/1,234.64 = 782.64/x
  3. Step 3: Cross multiply
    822.28x = 1,234.64 × 782.64
  4. Step 4: Simplify right side
    822.28x = 966,278.65
  5. Step 5: Solve for x
    x = 966,278.65/822.28
  6. Step 6: Final answer
    x = 1,175.12

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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.