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Finding the Fourth Proportional to 729, 1,086.21 and 673.11

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Solution

The fourth proportional to 729, 1,086.21 and 673.11 is: 1,002.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    729 : 1,086.21 = 673.11 : x
  2. Step 2: Convert to fraction form
    729/1,086.21 = 673.11/x
  3. Step 3: Cross multiply
    729x = 1,086.21 × 673.11
  4. Step 4: Simplify right side
    729x = 731,138.81
  5. Step 5: Solve for x
    x = 731,138.81/729
  6. Step 6: Final answer
    x = 1,002.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.