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Finding the Fourth Proportional to 662.20, 896.85 and 662.20

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Solution

The fourth proportional to 662.20, 896.85 and 662.20 is: 896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.20 : 896.85 = 662.20 : x
  2. Step 2: Convert to fraction form
    662.20/896.85 = 662.20/x
  3. Step 3: Cross multiply
    662.20x = 896.85 × 662.20
  4. Step 4: Simplify right side
    662.20x = 593,894.07
  5. Step 5: Solve for x
    x = 593,894.07/662.20
  6. Step 6: Final answer
    x = 896.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.