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Finding the Fourth Proportional to 1,814.86, 2,721.75 and 644.65

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Solution

The fourth proportional to 1,814.86, 2,721.75 and 644.65 is: 966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.86 : 2,721.75 = 644.65 : x
  2. Step 2: Convert to fraction form
    1,814.86/2,721.75 = 644.65/x
  3. Step 3: Cross multiply
    1,814.86x = 2,721.75 × 644.65
  4. Step 4: Simplify right side
    1,814.86x = 1,754,576.14
  5. Step 5: Solve for x
    x = 1,754,576.14/1,814.86
  6. Step 6: Final answer
    x = 966.78

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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.