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Finding the Fourth Proportional to 446.45, 669.49 and 283.93

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Solution

The fourth proportional to 446.45, 669.49 and 283.93 is: 425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.45 : 669.49 = 283.93 : x
  2. Step 2: Convert to fraction form
    446.45/669.49 = 283.93/x
  3. Step 3: Cross multiply
    446.45x = 669.49 × 283.93
  4. Step 4: Simplify right side
    446.45x = 190,085.91
  5. Step 5: Solve for x
    x = 190,085.91/446.45
  6. Step 6: Final answer
    x = 425.78

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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.