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Finding the Fourth Proportional to 575.69, 861.84 and 380.33

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Solution

The fourth proportional to 575.69, 861.84 and 380.33 is: 569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.69 : 861.84 = 380.33 : x
  2. Step 2: Convert to fraction form
    575.69/861.84 = 380.33/x
  3. Step 3: Cross multiply
    575.69x = 861.84 × 380.33
  4. Step 4: Simplify right side
    575.69x = 327,783.61
  5. Step 5: Solve for x
    x = 327,783.61/575.69
  6. Step 6: Final answer
    x = 569.38

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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.