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Finding the Fourth Proportional to 735.94, 1,097.87 and 719.20

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Solution

The fourth proportional to 735.94, 1,097.87 and 719.20 is: 1,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.94 : 1,097.87 = 719.20 : x
  2. Step 2: Convert to fraction form
    735.94/1,097.87 = 719.20/x
  3. Step 3: Cross multiply
    735.94x = 1,097.87 × 719.20
  4. Step 4: Simplify right side
    735.94x = 789,588.10
  5. Step 5: Solve for x
    x = 789,588.10/735.94
  6. Step 6: Final answer
    x = 1,072.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.