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Finding the Fourth Proportional to 902.12, 1,345.58 and 822.54

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Solution

The fourth proportional to 902.12, 1,345.58 and 822.54 is: 1,226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.12 : 1,345.58 = 822.54 : x
  2. Step 2: Convert to fraction form
    902.12/1,345.58 = 822.54/x
  3. Step 3: Cross multiply
    902.12x = 1,345.58 × 822.54
  4. Step 4: Simplify right side
    902.12x = 1,106,789.26
  5. Step 5: Solve for x
    x = 1,106,789.26/902.12
  6. Step 6: Final answer
    x = 1,226.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.