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Finding the Fourth Proportional to 799.03, 1,199.72 and 492.17

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Solution

The fourth proportional to 799.03, 1,199.72 and 492.17 is: 738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.03 : 1,199.72 = 492.17 : x
  2. Step 2: Convert to fraction form
    799.03/1,199.72 = 492.17/x
  3. Step 3: Cross multiply
    799.03x = 1,199.72 × 492.17
  4. Step 4: Simplify right side
    799.03x = 590,460.19
  5. Step 5: Solve for x
    x = 590,460.19/799.03
  6. Step 6: Final answer
    x = 738.98

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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.