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Finding the Fourth Proportional to 812.12, 1,219.80 and 504.32

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Solution

The fourth proportional to 812.12, 1,219.80 and 504.32 is: 757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.12 : 1,219.80 = 504.32 : x
  2. Step 2: Convert to fraction form
    812.12/1,219.80 = 504.32/x
  3. Step 3: Cross multiply
    812.12x = 1,219.80 × 504.32
  4. Step 4: Simplify right side
    812.12x = 615,169.54
  5. Step 5: Solve for x
    x = 615,169.54/812.12
  6. Step 6: Final answer
    x = 757.49

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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.