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Finding the Fourth Proportional to 1,409.73, 2,114.10 and 422.25

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Solution

The fourth proportional to 1,409.73, 2,114.10 and 422.25 is: 633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.73 : 2,114.10 = 422.25 : x
  2. Step 2: Convert to fraction form
    1,409.73/2,114.10 = 422.25/x
  3. Step 3: Cross multiply
    1,409.73x = 2,114.10 × 422.25
  4. Step 4: Simplify right side
    1,409.73x = 892,678.73
  5. Step 5: Solve for x
    x = 892,678.73/1,409.73
  6. Step 6: Final answer
    x = 633.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.