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Finding the Fourth Proportional to 896.18, 1,343.93 and 311.03

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Solution

The fourth proportional to 896.18, 1,343.93 and 311.03 is: 466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.18 : 1,343.93 = 311.03 : x
  2. Step 2: Convert to fraction form
    896.18/1,343.93 = 311.03/x
  3. Step 3: Cross multiply
    896.18x = 1,343.93 × 311.03
  4. Step 4: Simplify right side
    896.18x = 417,994.27
  5. Step 5: Solve for x
    x = 417,994.27/896.18
  6. Step 6: Final answer
    x = 466.42

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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.