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Finding the Fourth Proportional to 597.75, 896.61 and 289.54

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Solution

The fourth proportional to 597.75, 896.61 and 289.54 is: 434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.75 : 896.61 = 289.54 : x
  2. Step 2: Convert to fraction form
    597.75/896.61 = 289.54/x
  3. Step 3: Cross multiply
    597.75x = 896.61 × 289.54
  4. Step 4: Simplify right side
    597.75x = 259,604.46
  5. Step 5: Solve for x
    x = 259,604.46/597.75
  6. Step 6: Final answer
    x = 434.30

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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.