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Finding the Fourth Proportional to 812.17, 1,120.46 and 513.31

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Solution

The fourth proportional to 812.17, 1,120.46 and 513.31 is: 708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.17 : 1,120.46 = 513.31 : x
  2. Step 2: Convert to fraction form
    812.17/1,120.46 = 513.31/x
  3. Step 3: Cross multiply
    812.17x = 1,120.46 × 513.31
  4. Step 4: Simplify right side
    812.17x = 575,137.95
  5. Step 5: Solve for x
    x = 575,137.95/812.17
  6. Step 6: Final answer
    x = 708.15

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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.