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Finding the Fourth Proportional to 812.76, 1,219.54 and 504.52

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Solution

The fourth proportional to 812.76, 1,219.54 and 504.52 is: 757.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.76 : 1,219.54 = 504.52 : x
  2. Step 2: Convert to fraction form
    812.76/1,219.54 = 504.52/x
  3. Step 3: Cross multiply
    812.76x = 1,219.54 × 504.52
  4. Step 4: Simplify right side
    812.76x = 615,282.32
  5. Step 5: Solve for x
    x = 615,282.32/812.76
  6. Step 6: Final answer
    x = 757.03

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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.