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Finding the Fourth Proportional to 729.58, 1,094.44 and 209.63

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Solution

The fourth proportional to 729.58, 1,094.44 and 209.63 is: 314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.58 : 1,094.44 = 209.63 : x
  2. Step 2: Convert to fraction form
    729.58/1,094.44 = 209.63/x
  3. Step 3: Cross multiply
    729.58x = 1,094.44 × 209.63
  4. Step 4: Simplify right side
    729.58x = 229,420.94
  5. Step 5: Solve for x
    x = 229,420.94/729.58
  6. Step 6: Final answer
    x = 314.46

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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.