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Finding the Fourth Proportional to 662.81, 992.45 and 584.96

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Solution

The fourth proportional to 662.81, 992.45 and 584.96 is: 875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.81 : 992.45 = 584.96 : x
  2. Step 2: Convert to fraction form
    662.81/992.45 = 584.96/x
  3. Step 3: Cross multiply
    662.81x = 992.45 × 584.96
  4. Step 4: Simplify right side
    662.81x = 580,540.05
  5. Step 5: Solve for x
    x = 580,540.05/662.81
  6. Step 6: Final answer
    x = 875.88

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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.