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Finding the Fourth Proportional to 812.95, 1,121.50 and 518.03

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Solution

The fourth proportional to 812.95, 1,121.50 and 518.03 is: 714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.95 : 1,121.50 = 518.03 : x
  2. Step 2: Convert to fraction form
    812.95/1,121.50 = 518.03/x
  3. Step 3: Cross multiply
    812.95x = 1,121.50 × 518.03
  4. Step 4: Simplify right side
    812.95x = 580,966.98
  5. Step 5: Solve for x
    x = 580,966.98/812.95
  6. Step 6: Final answer
    x = 714.64

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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.