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Finding the Fourth Proportional to 812.22, 1,119.04 and 563.19

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Solution

The fourth proportional to 812.22, 1,119.04 and 563.19 is: 775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.22 : 1,119.04 = 563.19 : x
  2. Step 2: Convert to fraction form
    812.22/1,119.04 = 563.19/x
  3. Step 3: Cross multiply
    812.22x = 1,119.04 × 563.19
  4. Step 4: Simplify right side
    812.22x = 630,232.14
  5. Step 5: Solve for x
    x = 630,232.14/812.22
  6. Step 6: Final answer
    x = 775.94

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Double scale
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1.5x scale

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.