Home / 1,014.10-1,521.23-320.80

Finding the Fourth Proportional to 1,014.10, 1,521.23 and 320.80

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Solution

The fourth proportional to 1,014.10, 1,521.23 and 320.80 is: 481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.10 : 1,521.23 = 320.80 : x
  2. Step 2: Convert to fraction form
    1,014.10/1,521.23 = 320.80/x
  3. Step 3: Cross multiply
    1,014.10x = 1,521.23 × 320.80
  4. Step 4: Simplify right side
    1,014.10x = 488,010.58
  5. Step 5: Solve for x
    x = 488,010.58/1,014.10
  6. Step 6: Final answer
    x = 481.23

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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.