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Finding the Fourth Proportional to 435.99, 650.27 and 408.45

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Solution

The fourth proportional to 435.99, 650.27 and 408.45 is: 609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.99 : 650.27 = 408.45 : x
  2. Step 2: Convert to fraction form
    435.99/650.27 = 408.45/x
  3. Step 3: Cross multiply
    435.99x = 650.27 × 408.45
  4. Step 4: Simplify right side
    435.99x = 265,600.74
  5. Step 5: Solve for x
    x = 265,600.74/435.99
  6. Step 6: Final answer
    x = 609.19

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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.