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Finding the Fourth Proportional to 812.10, 1,120.68 and 517.37

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Solution

The fourth proportional to 812.10, 1,120.68 and 517.37 is: 713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.10 : 1,120.68 = 517.37 : x
  2. Step 2: Convert to fraction form
    812.10/1,120.68 = 517.37/x
  3. Step 3: Cross multiply
    812.10x = 1,120.68 × 517.37
  4. Step 4: Simplify right side
    812.10x = 579,800.61
  5. Step 5: Solve for x
    x = 579,800.61/812.10
  6. Step 6: Final answer
    x = 713.95

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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.