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Finding the Fourth Proportional to 672.49, 1,009.14 and 629.83

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Solution

The fourth proportional to 672.49, 1,009.14 and 629.83 is: 945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.49 : 1,009.14 = 629.83 : x
  2. Step 2: Convert to fraction form
    672.49/1,009.14 = 629.83/x
  3. Step 3: Cross multiply
    672.49x = 1,009.14 × 629.83
  4. Step 4: Simplify right side
    672.49x = 635,586.65
  5. Step 5: Solve for x
    x = 635,586.65/672.49
  6. Step 6: Final answer
    x = 945.12

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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.