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Finding the Fourth Proportional to 719.96, 993.67 and 564.44

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Solution

The fourth proportional to 719.96, 993.67 and 564.44 is: 779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.96 : 993.67 = 564.44 : x
  2. Step 2: Convert to fraction form
    719.96/993.67 = 564.44/x
  3. Step 3: Cross multiply
    719.96x = 993.67 × 564.44
  4. Step 4: Simplify right side
    719.96x = 560,860.72
  5. Step 5: Solve for x
    x = 560,860.72/719.96
  6. Step 6: Final answer
    x = 779.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.