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Finding the Fourth Proportional to 880.78, 1,323.09 and 539.02

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Solution

The fourth proportional to 880.78, 1,323.09 and 539.02 is: 809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.78 : 1,323.09 = 539.02 : x
  2. Step 2: Convert to fraction form
    880.78/1,323.09 = 539.02/x
  3. Step 3: Cross multiply
    880.78x = 1,323.09 × 539.02
  4. Step 4: Simplify right side
    880.78x = 713,171.97
  5. Step 5: Solve for x
    x = 713,171.97/880.78
  6. Step 6: Final answer
    x = 809.71

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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.