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Finding the Fourth Proportional to 847.50, 1,271.26 and 270.38

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Solution

The fourth proportional to 847.50, 1,271.26 and 270.38 is: 405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.50 : 1,271.26 = 270.38 : x
  2. Step 2: Convert to fraction form
    847.50/1,271.26 = 270.38/x
  3. Step 3: Cross multiply
    847.50x = 1,271.26 × 270.38
  4. Step 4: Simplify right side
    847.50x = 343,723.28
  5. Step 5: Solve for x
    x = 343,723.28/847.50
  6. Step 6: Final answer
    x = 405.57

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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.