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Finding the Fourth Proportional to 1,138.21, 1,706.91 and 397.74

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Solution

The fourth proportional to 1,138.21, 1,706.91 and 397.74 is: 596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.21 : 1,706.91 = 397.74 : x
  2. Step 2: Convert to fraction form
    1,138.21/1,706.91 = 397.74/x
  3. Step 3: Cross multiply
    1,138.21x = 1,706.91 × 397.74
  4. Step 4: Simplify right side
    1,138.21x = 678,906.38
  5. Step 5: Solve for x
    x = 678,906.38/1,138.21
  6. Step 6: Final answer
    x = 596.47

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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.