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Finding the Fourth Proportional to 847.38, 1,271.40 and 605.82

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Solution

The fourth proportional to 847.38, 1,271.40 and 605.82 is: 908.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.38 : 1,271.40 = 605.82 : x
  2. Step 2: Convert to fraction form
    847.38/1,271.40 = 605.82/x
  3. Step 3: Cross multiply
    847.38x = 1,271.40 × 605.82
  4. Step 4: Simplify right side
    847.38x = 770,239.55
  5. Step 5: Solve for x
    x = 770,239.55/847.38
  6. Step 6: Final answer
    x = 908.97

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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.