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Finding the Fourth Proportional to 704.21, 1,056.30 and 217.25

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Solution

The fourth proportional to 704.21, 1,056.30 and 217.25 is: 325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.21 : 1,056.30 = 217.25 : x
  2. Step 2: Convert to fraction form
    704.21/1,056.30 = 217.25/x
  3. Step 3: Cross multiply
    704.21x = 1,056.30 × 217.25
  4. Step 4: Simplify right side
    704.21x = 229,481.18
  5. Step 5: Solve for x
    x = 229,481.18/704.21
  6. Step 6: Final answer
    x = 325.87

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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.