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Finding the Fourth Proportional to 597.75, 896.75 and 289.82

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Solution

The fourth proportional to 597.75, 896.75 and 289.82 is: 434.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.75 : 896.75 = 289.82 : x
  2. Step 2: Convert to fraction form
    597.75/896.75 = 289.82/x
  3. Step 3: Cross multiply
    597.75x = 896.75 × 289.82
  4. Step 4: Simplify right side
    597.75x = 259,896.09
  5. Step 5: Solve for x
    x = 259,896.09/597.75
  6. Step 6: Final answer
    x = 434.79

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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.