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Finding the Fourth Proportional to 896.70, 1,345.12 and 247.43

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Solution

The fourth proportional to 896.70, 1,345.12 and 247.43 is: 371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.70 : 1,345.12 = 247.43 : x
  2. Step 2: Convert to fraction form
    896.70/1,345.12 = 247.43/x
  3. Step 3: Cross multiply
    896.70x = 1,345.12 × 247.43
  4. Step 4: Simplify right side
    896.70x = 332,822.35
  5. Step 5: Solve for x
    x = 332,822.35/896.70
  6. Step 6: Final answer
    x = 371.17

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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.