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Finding the Fourth Proportional to 587.96, 883.38 and 331.64

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Solution

The fourth proportional to 587.96, 883.38 and 331.64 is: 498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.96 : 883.38 = 331.64 : x
  2. Step 2: Convert to fraction form
    587.96/883.38 = 331.64/x
  3. Step 3: Cross multiply
    587.96x = 883.38 × 331.64
  4. Step 4: Simplify right side
    587.96x = 292,964.14
  5. Step 5: Solve for x
    x = 292,964.14/587.96
  6. Step 6: Final answer
    x = 498.27

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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.