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Finding the Fourth Proportional to 412.84, 623.78 and 408.88

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Solution

The fourth proportional to 412.84, 623.78 and 408.88 is: 617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.84 : 623.78 = 408.88 : x
  2. Step 2: Convert to fraction form
    412.84/623.78 = 408.88/x
  3. Step 3: Cross multiply
    412.84x = 623.78 × 408.88
  4. Step 4: Simplify right side
    412.84x = 255,051.17
  5. Step 5: Solve for x
    x = 255,051.17/412.84
  6. Step 6: Final answer
    x = 617.80

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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.