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Finding the Fourth Proportional to 992.29, 1,361.78 and 898.84

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Solution

The fourth proportional to 992.29, 1,361.78 and 898.84 is: 1,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.29 : 1,361.78 = 898.84 : x
  2. Step 2: Convert to fraction form
    992.29/1,361.78 = 898.84/x
  3. Step 3: Cross multiply
    992.29x = 1,361.78 × 898.84
  4. Step 4: Simplify right side
    992.29x = 1,224,022.34
  5. Step 5: Solve for x
    x = 1,224,022.34/992.29
  6. Step 6: Final answer
    x = 1,233.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.