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Finding the Fourth Proportional to 799.52, 1,199.04 and 312.48

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Solution

The fourth proportional to 799.52, 1,199.04 and 312.48 is: 468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.52 : 1,199.04 = 312.48 : x
  2. Step 2: Convert to fraction form
    799.52/1,199.04 = 312.48/x
  3. Step 3: Cross multiply
    799.52x = 1,199.04 × 312.48
  4. Step 4: Simplify right side
    799.52x = 374,676.02
  5. Step 5: Solve for x
    x = 374,676.02/799.52
  6. Step 6: Final answer
    x = 468.63

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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.