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Finding the Fourth Proportional to 573.69, 858.84 and 378.33

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Solution

The fourth proportional to 573.69, 858.84 and 378.33 is: 566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.69 : 858.84 = 378.33 : x
  2. Step 2: Convert to fraction form
    573.69/858.84 = 378.33/x
  3. Step 3: Cross multiply
    573.69x = 858.84 × 378.33
  4. Step 4: Simplify right side
    573.69x = 324,924.94
  5. Step 5: Solve for x
    x = 324,924.94/573.69
  6. Step 6: Final answer
    x = 566.38

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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.