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Finding the Fourth Proportional to 812.68, 1,213.86 and 697.46

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Solution

The fourth proportional to 812.68, 1,213.86 and 697.46 is: 1,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.68 : 1,213.86 = 697.46 : x
  2. Step 2: Convert to fraction form
    812.68/1,213.86 = 697.46/x
  3. Step 3: Cross multiply
    812.68x = 1,213.86 × 697.46
  4. Step 4: Simplify right side
    812.68x = 846,618.80
  5. Step 5: Solve for x
    x = 846,618.80/812.68
  6. Step 6: Final answer
    x = 1,041.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.