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Finding the Fourth Proportional to 412.40, 623.07 and 408.75

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Solution

The fourth proportional to 412.40, 623.07 and 408.75 is: 617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.40 : 623.07 = 408.75 : x
  2. Step 2: Convert to fraction form
    412.40/623.07 = 408.75/x
  3. Step 3: Cross multiply
    412.40x = 623.07 × 408.75
  4. Step 4: Simplify right side
    412.40x = 254,679.86
  5. Step 5: Solve for x
    x = 254,679.86/412.40
  6. Step 6: Final answer
    x = 617.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.