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Finding the Fourth Proportional to 445.41, 670.59 and 385.88

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Solution

The fourth proportional to 445.41, 670.59 and 385.88 is: 580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.41 : 670.59 = 385.88 : x
  2. Step 2: Convert to fraction form
    445.41/670.59 = 385.88/x
  3. Step 3: Cross multiply
    445.41x = 670.59 × 385.88
  4. Step 4: Simplify right side
    445.41x = 258,763.92
  5. Step 5: Solve for x
    x = 258,763.92/445.41
  6. Step 6: Final answer
    x = 580.96

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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.