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Finding the Fourth Proportional to 704.36, 1,056.60 and 217.44

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Solution

The fourth proportional to 704.36, 1,056.60 and 217.44 is: 326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.36 : 1,056.60 = 217.44 : x
  2. Step 2: Convert to fraction form
    704.36/1,056.60 = 217.44/x
  3. Step 3: Cross multiply
    704.36x = 1,056.60 × 217.44
  4. Step 4: Simplify right side
    704.36x = 229,747.10
  5. Step 5: Solve for x
    x = 229,747.10/704.36
  6. Step 6: Final answer
    x = 326.18

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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.