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Finding the Fourth Proportional to 653.25, 896.90 and 636.33

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Solution

The fourth proportional to 653.25, 896.90 and 636.33 is: 873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.25 : 896.90 = 636.33 : x
  2. Step 2: Convert to fraction form
    653.25/896.90 = 636.33/x
  3. Step 3: Cross multiply
    653.25x = 896.90 × 636.33
  4. Step 4: Simplify right side
    653.25x = 570,724.38
  5. Step 5: Solve for x
    x = 570,724.38/653.25
  6. Step 6: Final answer
    x = 873.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.