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Finding the Fourth Proportional to 988.62, 1,364.42 and 822.54

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Solution

The fourth proportional to 988.62, 1,364.42 and 822.54 is: 1,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.62 : 1,364.42 = 822.54 : x
  2. Step 2: Convert to fraction form
    988.62/1,364.42 = 822.54/x
  3. Step 3: Cross multiply
    988.62x = 1,364.42 × 822.54
  4. Step 4: Simplify right side
    988.62x = 1,122,290.03
  5. Step 5: Solve for x
    x = 1,122,290.03/988.62
  6. Step 6: Final answer
    x = 1,135.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.