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Finding the Fourth Proportional to 704.62, 1,056.80 and 217.67

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Solution

The fourth proportional to 704.62, 1,056.80 and 217.67 is: 326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.62 : 1,056.80 = 217.67 : x
  2. Step 2: Convert to fraction form
    704.62/1,056.80 = 217.67/x
  3. Step 3: Cross multiply
    704.62x = 1,056.80 × 217.67
  4. Step 4: Simplify right side
    704.62x = 230,036.84
  5. Step 5: Solve for x
    x = 230,036.84/704.62
  6. Step 6: Final answer
    x = 326.47

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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.