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Finding the Fourth Proportional to 899.43, 1,349.96 and 379.81

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Solution

The fourth proportional to 899.43, 1,349.96 and 379.81 is: 570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.43 : 1,349.96 = 379.81 : x
  2. Step 2: Convert to fraction form
    899.43/1,349.96 = 379.81/x
  3. Step 3: Cross multiply
    899.43x = 1,349.96 × 379.81
  4. Step 4: Simplify right side
    899.43x = 512,728.10
  5. Step 5: Solve for x
    x = 512,728.10/899.43
  6. Step 6: Final answer
    x = 570.06

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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.