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Finding the Fourth Proportional to 799.42, 1,199.40 and 493.24

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Solution

The fourth proportional to 799.42, 1,199.40 and 493.24 is: 740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.42 : 1,199.40 = 493.24 : x
  2. Step 2: Convert to fraction form
    799.42/1,199.40 = 493.24/x
  3. Step 3: Cross multiply
    799.42x = 1,199.40 × 493.24
  4. Step 4: Simplify right side
    799.42x = 591,592.06
  5. Step 5: Solve for x
    x = 591,592.06/799.42
  6. Step 6: Final answer
    x = 740.03

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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.