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Finding the Fourth Proportional to 481.02, 663.84 and 284.58

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Solution

The fourth proportional to 481.02, 663.84 and 284.58 is: 392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.02 : 663.84 = 284.58 : x
  2. Step 2: Convert to fraction form
    481.02/663.84 = 284.58/x
  3. Step 3: Cross multiply
    481.02x = 663.84 × 284.58
  4. Step 4: Simplify right side
    481.02x = 188,915.59
  5. Step 5: Solve for x
    x = 188,915.59/481.02
  6. Step 6: Final answer
    x = 392.74

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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.