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Finding the Fourth Proportional to 799.23, 1,197.92 and 312.02

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Solution

The fourth proportional to 799.23, 1,197.92 and 312.02 is: 467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.23 : 1,197.92 = 312.02 : x
  2. Step 2: Convert to fraction form
    799.23/1,197.92 = 312.02/x
  3. Step 3: Cross multiply
    799.23x = 1,197.92 × 312.02
  4. Step 4: Simplify right side
    799.23x = 373,769.79
  5. Step 5: Solve for x
    x = 373,769.79/799.23
  6. Step 6: Final answer
    x = 467.66

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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.