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Finding the Fourth Proportional to 598.10, 896.69 and 289.64

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Solution

The fourth proportional to 598.10, 896.69 and 289.64 is: 434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.10 : 896.69 = 289.64 : x
  2. Step 2: Convert to fraction form
    598.10/896.69 = 289.64/x
  3. Step 3: Cross multiply
    598.10x = 896.69 × 289.64
  4. Step 4: Simplify right side
    598.10x = 259,717.29
  5. Step 5: Solve for x
    x = 259,717.29/598.10
  6. Step 6: Final answer
    x = 434.24

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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.