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Finding the Fourth Proportional to 672.14, 1,009.34 and 412.66

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Solution

The fourth proportional to 672.14, 1,009.34 and 412.66 is: 619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.14 : 1,009.34 = 412.66 : x
  2. Step 2: Convert to fraction form
    672.14/1,009.34 = 412.66/x
  3. Step 3: Cross multiply
    672.14x = 1,009.34 × 412.66
  4. Step 4: Simplify right side
    672.14x = 416,514.24
  5. Step 5: Solve for x
    x = 416,514.24/672.14
  6. Step 6: Final answer
    x = 619.68

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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.