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Finding the Fourth Proportional to 810.50, 1,213.97 and 670.09

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Solution

The fourth proportional to 810.50, 1,213.97 and 670.09 is: 1,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.50 : 1,213.97 = 670.09 : x
  2. Step 2: Convert to fraction form
    810.50/1,213.97 = 670.09/x
  3. Step 3: Cross multiply
    810.50x = 1,213.97 × 670.09
  4. Step 4: Simplify right side
    810.50x = 813,469.16
  5. Step 5: Solve for x
    x = 813,469.16/810.50
  6. Step 6: Final answer
    x = 1,003.66

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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.