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Finding the Fourth Proportional to 575.67, 866.67 and 394.23

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Solution

The fourth proportional to 575.67, 866.67 and 394.23 is: 593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.67 : 866.67 = 394.23 : x
  2. Step 2: Convert to fraction form
    575.67/866.67 = 394.23/x
  3. Step 3: Cross multiply
    575.67x = 866.67 × 394.23
  4. Step 4: Simplify right side
    575.67x = 341,667.31
  5. Step 5: Solve for x
    x = 341,667.31/575.67
  6. Step 6: Final answer
    x = 593.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.