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Finding the Fourth Proportional to 704.70, 1,055.43 and 396.90

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Solution

The fourth proportional to 704.70, 1,055.43 and 396.90 is: 594.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.70 : 1,055.43 = 396.90 : x
  2. Step 2: Convert to fraction form
    704.70/1,055.43 = 396.90/x
  3. Step 3: Cross multiply
    704.70x = 1,055.43 × 396.90
  4. Step 4: Simplify right side
    704.70x = 418,900.17
  5. Step 5: Solve for x
    x = 418,900.17/704.70
  6. Step 6: Final answer
    x = 594.44

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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.