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Finding the Fourth Proportional to 598.16, 896.81 and 289.73

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Solution

The fourth proportional to 598.16, 896.81 and 289.73 is: 434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.16 : 896.81 = 289.73 : x
  2. Step 2: Convert to fraction form
    598.16/896.81 = 289.73/x
  3. Step 3: Cross multiply
    598.16x = 896.81 × 289.73
  4. Step 4: Simplify right side
    598.16x = 259,833.55
  5. Step 5: Solve for x
    x = 259,833.55/598.16
  6. Step 6: Final answer
    x = 434.39

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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.