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Finding the Fourth Proportional to 480.37, 662.70 and 283.84

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Solution

The fourth proportional to 480.37, 662.70 and 283.84 is: 391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.37 : 662.70 = 283.84 : x
  2. Step 2: Convert to fraction form
    480.37/662.70 = 283.84/x
  3. Step 3: Cross multiply
    480.37x = 662.70 × 283.84
  4. Step 4: Simplify right side
    480.37x = 188,100.77
  5. Step 5: Solve for x
    x = 188,100.77/480.37
  6. Step 6: Final answer
    x = 391.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.