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Finding the Fourth Proportional to 481.78, 661.97 and 383.37

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Solution

The fourth proportional to 481.78, 661.97 and 383.37 is: 526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.78 : 661.97 = 383.37 : x
  2. Step 2: Convert to fraction form
    481.78/661.97 = 383.37/x
  3. Step 3: Cross multiply
    481.78x = 661.97 × 383.37
  4. Step 4: Simplify right side
    481.78x = 253,774.21
  5. Step 5: Solve for x
    x = 253,774.21/481.78
  6. Step 6: Final answer
    x = 526.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.