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Finding the Fourth Proportional to 763.21, 1,144.21 and 330.06

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Solution

The fourth proportional to 763.21, 1,144.21 and 330.06 is: 494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.21 : 1,144.21 = 330.06 : x
  2. Step 2: Convert to fraction form
    763.21/1,144.21 = 330.06/x
  3. Step 3: Cross multiply
    763.21x = 1,144.21 × 330.06
  4. Step 4: Simplify right side
    763.21x = 377,657.95
  5. Step 5: Solve for x
    x = 377,657.95/763.21
  6. Step 6: Final answer
    x = 494.83

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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.