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Finding the Fourth Proportional to 1,015.03, 1,522 and 321.40

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Solution

The fourth proportional to 1,015.03, 1,522 and 321.40 is: 481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.03 : 1,522 = 321.40 : x
  2. Step 2: Convert to fraction form
    1,015.03/1,522 = 321.40/x
  3. Step 3: Cross multiply
    1,015.03x = 1,522 × 321.40
  4. Step 4: Simplify right side
    1,015.03x = 489,170.80
  5. Step 5: Solve for x
    x = 489,170.80/1,015.03
  6. Step 6: Final answer
    x = 481.93

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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.