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Finding the Fourth Proportional to 896.47, 1,344.54 and 247.06

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Solution

The fourth proportional to 896.47, 1,344.54 and 247.06 is: 370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.47 : 1,344.54 = 247.06 : x
  2. Step 2: Convert to fraction form
    896.47/1,344.54 = 247.06/x
  3. Step 3: Cross multiply
    896.47x = 1,344.54 × 247.06
  4. Step 4: Simplify right side
    896.47x = 332,182.05
  5. Step 5: Solve for x
    x = 332,182.05/896.47
  6. Step 6: Final answer
    x = 370.54

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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.