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Finding the Fourth Proportional to 812.51, 1,219.25 and 552.68

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Solution

The fourth proportional to 812.51, 1,219.25 and 552.68 is: 829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.51 : 1,219.25 = 552.68 : x
  2. Step 2: Convert to fraction form
    812.51/1,219.25 = 552.68/x
  3. Step 3: Cross multiply
    812.51x = 1,219.25 × 552.68
  4. Step 4: Simplify right side
    812.51x = 673,855.09
  5. Step 5: Solve for x
    x = 673,855.09/812.51
  6. Step 6: Final answer
    x = 829.35

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1.5x scale

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.