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Finding the Fourth Proportional to 812.45, 1,121.19 and 517.82

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Solution

The fourth proportional to 812.45, 1,121.19 and 517.82 is: 714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.45 : 1,121.19 = 517.82 : x
  2. Step 2: Convert to fraction form
    812.45/1,121.19 = 517.82/x
  3. Step 3: Cross multiply
    812.45x = 1,121.19 × 517.82
  4. Step 4: Simplify right side
    812.45x = 580,569.00
  5. Step 5: Solve for x
    x = 580,569.00/812.45
  6. Step 6: Final answer
    x = 714.59

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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.