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Finding the Fourth Proportional to 812.61, 1,217.84 and 670.05

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Solution

The fourth proportional to 812.61, 1,217.84 and 670.05 is: 1,004.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.61 : 1,217.84 = 670.05 : x
  2. Step 2: Convert to fraction form
    812.61/1,217.84 = 670.05/x
  3. Step 3: Cross multiply
    812.61x = 1,217.84 × 670.05
  4. Step 4: Simplify right side
    812.61x = 816,010.34
  5. Step 5: Solve for x
    x = 816,010.34/812.61
  6. Step 6: Final answer
    x = 1,004.18

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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.