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Finding the Fourth Proportional to 883.03, 1,323.73 and 305.50

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Solution

The fourth proportional to 883.03, 1,323.73 and 305.50 is: 457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.03 : 1,323.73 = 305.50 : x
  2. Step 2: Convert to fraction form
    883.03/1,323.73 = 305.50/x
  3. Step 3: Cross multiply
    883.03x = 1,323.73 × 305.50
  4. Step 4: Simplify right side
    883.03x = 404,399.52
  5. Step 5: Solve for x
    x = 404,399.52/883.03
  6. Step 6: Final answer
    x = 457.97

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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.