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Finding the Fourth Proportional to 447.45, 670.99 and 284.93

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Solution

The fourth proportional to 447.45, 670.99 and 284.93 is: 427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.45 : 670.99 = 284.93 : x
  2. Step 2: Convert to fraction form
    447.45/670.99 = 284.93/x
  3. Step 3: Cross multiply
    447.45x = 670.99 × 284.93
  4. Step 4: Simplify right side
    447.45x = 191,185.18
  5. Step 5: Solve for x
    x = 191,185.18/447.45
  6. Step 6: Final answer
    x = 427.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.