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Finding the Fourth Proportional to 704.31, 1,056.25 and 217.23

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Solution

The fourth proportional to 704.31, 1,056.25 and 217.23 is: 325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.31 : 1,056.25 = 217.23 : x
  2. Step 2: Convert to fraction form
    704.31/1,056.25 = 217.23/x
  3. Step 3: Cross multiply
    704.31x = 1,056.25 × 217.23
  4. Step 4: Simplify right side
    704.31x = 229,449.19
  5. Step 5: Solve for x
    x = 229,449.19/704.31
  6. Step 6: Final answer
    x = 325.78

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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.