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Finding the Fourth Proportional to 672.44, 1,006.29 and 412.36

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Solution

The fourth proportional to 672.44, 1,006.29 and 412.36 is: 617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.44 : 1,006.29 = 412.36 : x
  2. Step 2: Convert to fraction form
    672.44/1,006.29 = 412.36/x
  3. Step 3: Cross multiply
    672.44x = 1,006.29 × 412.36
  4. Step 4: Simplify right side
    672.44x = 414,951.23
  5. Step 5: Solve for x
    x = 414,951.23/672.44
  6. Step 6: Final answer
    x = 617.09

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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.