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Finding the Fourth Proportional to 619.23, 852.81 and 573.06

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Solution

The fourth proportional to 619.23, 852.81 and 573.06 is: 789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.23 : 852.81 = 573.06 : x
  2. Step 2: Convert to fraction form
    619.23/852.81 = 573.06/x
  3. Step 3: Cross multiply
    619.23x = 852.81 × 573.06
  4. Step 4: Simplify right side
    619.23x = 488,711.30
  5. Step 5: Solve for x
    x = 488,711.30/619.23
  6. Step 6: Final answer
    x = 789.22

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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.