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Finding the Fourth Proportional to 1,191.96, 1,644.64 and 719.94

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Solution

The fourth proportional to 1,191.96, 1,644.64 and 719.94 is: 993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.96 : 1,644.64 = 719.94 : x
  2. Step 2: Convert to fraction form
    1,191.96/1,644.64 = 719.94/x
  3. Step 3: Cross multiply
    1,191.96x = 1,644.64 × 719.94
  4. Step 4: Simplify right side
    1,191.96x = 1,184,033.90
  5. Step 5: Solve for x
    x = 1,184,033.90/1,191.96
  6. Step 6: Final answer
    x = 993.35

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Why These Related Problems?

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