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Finding the Fourth Proportional to 445.06, 670.97 and 418.64

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Solution

The fourth proportional to 445.06, 670.97 and 418.64 is: 631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.06 : 670.97 = 418.64 : x
  2. Step 2: Convert to fraction form
    445.06/670.97 = 418.64/x
  3. Step 3: Cross multiply
    445.06x = 670.97 × 418.64
  4. Step 4: Simplify right side
    445.06x = 280,892.57
  5. Step 5: Solve for x
    x = 280,892.57/445.06
  6. Step 6: Final answer
    x = 631.14

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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.