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Finding the Fourth Proportional to 799.65, 1,199.25 and 312.60

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Solution

The fourth proportional to 799.65, 1,199.25 and 312.60 is: 468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.65 : 1,199.25 = 312.60 : x
  2. Step 2: Convert to fraction form
    799.65/1,199.25 = 312.60/x
  3. Step 3: Cross multiply
    799.65x = 1,199.25 × 312.60
  4. Step 4: Simplify right side
    799.65x = 374,885.55
  5. Step 5: Solve for x
    x = 374,885.55/799.65
  6. Step 6: Final answer
    x = 468.81

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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.