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Finding the Fourth Proportional to 435.69, 649.30 and 422.52

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Solution

The fourth proportional to 435.69, 649.30 and 422.52 is: 629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.69 : 649.30 = 422.52 : x
  2. Step 2: Convert to fraction form
    435.69/649.30 = 422.52/x
  3. Step 3: Cross multiply
    435.69x = 649.30 × 422.52
  4. Step 4: Simplify right side
    435.69x = 274,342.24
  5. Step 5: Solve for x
    x = 274,342.24/435.69
  6. Step 6: Final answer
    x = 629.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.