Home / 1,450.94-2,002.32-821.49

Finding the Fourth Proportional to 1,450.94, 2,002.32 and 821.49

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Solution

The fourth proportional to 1,450.94, 2,002.32 and 821.49 is: 1,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.94 : 2,002.32 = 821.49 : x
  2. Step 2: Convert to fraction form
    1,450.94/2,002.32 = 821.49/x
  3. Step 3: Cross multiply
    1,450.94x = 2,002.32 × 821.49
  4. Step 4: Simplify right side
    1,450.94x = 1,644,889.61
  5. Step 5: Solve for x
    x = 1,644,889.61/1,450.94
  6. Step 6: Final answer
    x = 1,133.67

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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.