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Finding the Fourth Proportional to 575.89, 863.84 and 392.83

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Solution

The fourth proportional to 575.89, 863.84 and 392.83 is: 589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.89 : 863.84 = 392.83 : x
  2. Step 2: Convert to fraction form
    575.89/863.84 = 392.83/x
  3. Step 3: Cross multiply
    575.89x = 863.84 × 392.83
  4. Step 4: Simplify right side
    575.89x = 339,338.14
  5. Step 5: Solve for x
    x = 339,338.14/575.89
  6. Step 6: Final answer
    x = 589.24

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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.