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Finding the Fourth Proportional to 884.94, 1,228.56 and 858.21

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Solution

The fourth proportional to 884.94, 1,228.56 and 858.21 is: 1,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.94 : 1,228.56 = 858.21 : x
  2. Step 2: Convert to fraction form
    884.94/1,228.56 = 858.21/x
  3. Step 3: Cross multiply
    884.94x = 1,228.56 × 858.21
  4. Step 4: Simplify right side
    884.94x = 1,054,362.48
  5. Step 5: Solve for x
    x = 1,054,362.48/884.94
  6. Step 6: Final answer
    x = 1,191.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.