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Finding the Fourth Proportional to 453.35, 623.20 and 408.80

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Solution

The fourth proportional to 453.35, 623.20 and 408.80 is: 561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.35 : 623.20 = 408.80 : x
  2. Step 2: Convert to fraction form
    453.35/623.20 = 408.80/x
  3. Step 3: Cross multiply
    453.35x = 623.20 × 408.80
  4. Step 4: Simplify right side
    453.35x = 254,762.12
  5. Step 5: Solve for x
    x = 254,762.12/453.35
  6. Step 6: Final answer
    x = 561.95

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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.