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Finding the Fourth Proportional to 650.18, 896.86 and 429.05

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Solution

The fourth proportional to 650.18, 896.86 and 429.05 is: 591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.18 : 896.86 = 429.05 : x
  2. Step 2: Convert to fraction form
    650.18/896.86 = 429.05/x
  3. Step 3: Cross multiply
    650.18x = 896.86 × 429.05
  4. Step 4: Simplify right side
    650.18x = 384,797.78
  5. Step 5: Solve for x
    x = 384,797.78/650.18
  6. Step 6: Final answer
    x = 591.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.