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Finding the Fourth Proportional to 1,484.99, 2,228.23 and 663.79

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Solution

The fourth proportional to 1,484.99, 2,228.23 and 663.79 is: 996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.99 : 2,228.23 = 663.79 : x
  2. Step 2: Convert to fraction form
    1,484.99/2,228.23 = 663.79/x
  3. Step 3: Cross multiply
    1,484.99x = 2,228.23 × 663.79
  4. Step 4: Simplify right side
    1,484.99x = 1,479,076.79
  5. Step 5: Solve for x
    x = 1,479,076.79/1,484.99
  6. Step 6: Final answer
    x = 996.02

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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.