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Finding the Fourth Proportional to 899.73, 1,349.65 and 379.21

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Solution

The fourth proportional to 899.73, 1,349.65 and 379.21 is: 568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.73 : 1,349.65 = 379.21 : x
  2. Step 2: Convert to fraction form
    899.73/1,349.65 = 379.21/x
  3. Step 3: Cross multiply
    899.73x = 1,349.65 × 379.21
  4. Step 4: Simplify right side
    899.73x = 511,796.45
  5. Step 5: Solve for x
    x = 511,796.45/899.73
  6. Step 6: Final answer
    x = 568.83

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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.