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Finding the Fourth Proportional to 1,014.81, 1,522.29 and 321.46

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Solution

The fourth proportional to 1,014.81, 1,522.29 and 321.46 is: 482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.81 : 1,522.29 = 321.46 : x
  2. Step 2: Convert to fraction form
    1,014.81/1,522.29 = 321.46/x
  3. Step 3: Cross multiply
    1,014.81x = 1,522.29 × 321.46
  4. Step 4: Simplify right side
    1,014.81x = 489,352.74
  5. Step 5: Solve for x
    x = 489,352.74/1,014.81
  6. Step 6: Final answer
    x = 482.21

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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.