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Finding the Fourth Proportional to 812.83, 1,219.21 and 651.55

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Solution

The fourth proportional to 812.83, 1,219.21 and 651.55 is: 977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.83 : 1,219.21 = 651.55 : x
  2. Step 2: Convert to fraction form
    812.83/1,219.21 = 651.55/x
  3. Step 3: Cross multiply
    812.83x = 1,219.21 × 651.55
  4. Step 4: Simplify right side
    812.83x = 794,366.92
  5. Step 5: Solve for x
    x = 794,366.92/812.83
  6. Step 6: Final answer
    x = 977.29

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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.