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Finding the Fourth Proportional to 704.50, 972.28 and 394.06

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Solution

The fourth proportional to 704.50, 972.28 and 394.06 is: 543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.50 : 972.28 = 394.06 : x
  2. Step 2: Convert to fraction form
    704.50/972.28 = 394.06/x
  3. Step 3: Cross multiply
    704.50x = 972.28 × 394.06
  4. Step 4: Simplify right side
    704.50x = 383,136.66
  5. Step 5: Solve for x
    x = 383,136.66/704.50
  6. Step 6: Final answer
    x = 543.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.