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Finding the Fourth Proportional to 704.44, 972.07 and 393.88

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Solution

The fourth proportional to 704.44, 972.07 and 393.88 is: 543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.44 : 972.07 = 393.88 : x
  2. Step 2: Convert to fraction form
    704.44/972.07 = 393.88/x
  3. Step 3: Cross multiply
    704.44x = 972.07 × 393.88
  4. Step 4: Simplify right side
    704.44x = 382,872.10
  5. Step 5: Solve for x
    x = 382,872.10/704.44
  6. Step 6: Final answer
    x = 543.52

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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.