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Finding the Fourth Proportional to 697.99, 1,047.11 and 235.81

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Solution

The fourth proportional to 697.99, 1,047.11 and 235.81 is: 353.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.99 : 1,047.11 = 235.81 : x
  2. Step 2: Convert to fraction form
    697.99/1,047.11 = 235.81/x
  3. Step 3: Cross multiply
    697.99x = 1,047.11 × 235.81
  4. Step 4: Simplify right side
    697.99x = 246,919.01
  5. Step 5: Solve for x
    x = 246,919.01/697.99
  6. Step 6: Final answer
    x = 353.76

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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.