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Finding the Fourth Proportional to 867.21, 1,301.43 and 672.66

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Solution

The fourth proportional to 867.21, 1,301.43 and 672.66 is: 1,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.21 : 1,301.43 = 672.66 : x
  2. Step 2: Convert to fraction form
    867.21/1,301.43 = 672.66/x
  3. Step 3: Cross multiply
    867.21x = 1,301.43 × 672.66
  4. Step 4: Simplify right side
    867.21x = 875,419.90
  5. Step 5: Solve for x
    x = 875,419.90/867.21
  6. Step 6: Final answer
    x = 1,009.47

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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.