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Finding the Fourth Proportional to 822.74, 1,235.72 and 728.78

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Solution

The fourth proportional to 822.74, 1,235.72 and 728.78 is: 1,094.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.74 : 1,235.72 = 728.78 : x
  2. Step 2: Convert to fraction form
    822.74/1,235.72 = 728.78/x
  3. Step 3: Cross multiply
    822.74x = 1,235.72 × 728.78
  4. Step 4: Simplify right side
    822.74x = 900,563.66
  5. Step 5: Solve for x
    x = 900,563.66/822.74
  6. Step 6: Final answer
    x = 1,094.60

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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.