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Finding the Fourth Proportional to 573.35, 861.57 and 342.33

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Solution

The fourth proportional to 573.35, 861.57 and 342.33 is: 514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.35 : 861.57 = 342.33 : x
  2. Step 2: Convert to fraction form
    573.35/861.57 = 342.33/x
  3. Step 3: Cross multiply
    573.35x = 861.57 × 342.33
  4. Step 4: Simplify right side
    573.35x = 294,938.03
  5. Step 5: Solve for x
    x = 294,938.03/573.35
  6. Step 6: Final answer
    x = 514.42

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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.