Home / 1,022.21-1,409.57-938.98

Finding the Fourth Proportional to 1,022.21, 1,409.57 and 938.98

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Solution

The fourth proportional to 1,022.21, 1,409.57 and 938.98 is: 1,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.21 : 1,409.57 = 938.98 : x
  2. Step 2: Convert to fraction form
    1,022.21/1,409.57 = 938.98/x
  3. Step 3: Cross multiply
    1,022.21x = 1,409.57 × 938.98
  4. Step 4: Simplify right side
    1,022.21x = 1,323,553.34
  5. Step 5: Solve for x
    x = 1,323,553.34/1,022.21
  6. Step 6: Final answer
    x = 1,294.80

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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.