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Finding the Fourth Proportional to 768.21, 1,152.62 and 403.23

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Solution

The fourth proportional to 768.21, 1,152.62 and 403.23 is: 605.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.21 : 1,152.62 = 403.23 : x
  2. Step 2: Convert to fraction form
    768.21/1,152.62 = 403.23/x
  3. Step 3: Cross multiply
    768.21x = 1,152.62 × 403.23
  4. Step 4: Simplify right side
    768.21x = 464,770.96
  5. Step 5: Solve for x
    x = 464,770.96/768.21
  6. Step 6: Final answer
    x = 605.01

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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.