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Finding the Fourth Proportional to 812.23, 1,120.06 and 613.55

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Solution

The fourth proportional to 812.23, 1,120.06 and 613.55 is: 846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.23 : 1,120.06 = 613.55 : x
  2. Step 2: Convert to fraction form
    812.23/1,120.06 = 613.55/x
  3. Step 3: Cross multiply
    812.23x = 1,120.06 × 613.55
  4. Step 4: Simplify right side
    812.23x = 687,212.81
  5. Step 5: Solve for x
    x = 687,212.81/812.23
  6. Step 6: Final answer
    x = 846.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.