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Finding the Fourth Proportional to 896.20, 1,342.81 and 310.89

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Solution

The fourth proportional to 896.20, 1,342.81 and 310.89 is: 465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.20 : 1,342.81 = 310.89 : x
  2. Step 2: Convert to fraction form
    896.20/1,342.81 = 310.89/x
  3. Step 3: Cross multiply
    896.20x = 1,342.81 × 310.89
  4. Step 4: Simplify right side
    896.20x = 417,464.07
  5. Step 5: Solve for x
    x = 417,464.07/896.20
  6. Step 6: Final answer
    x = 465.82

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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.