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Finding the Fourth Proportional to 823.63, 1,135.43 and 681.93

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Solution

The fourth proportional to 823.63, 1,135.43 and 681.93 is: 940.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.63 : 1,135.43 = 681.93 : x
  2. Step 2: Convert to fraction form
    823.63/1,135.43 = 681.93/x
  3. Step 3: Cross multiply
    823.63x = 1,135.43 × 681.93
  4. Step 4: Simplify right side
    823.63x = 774,274.69
  5. Step 5: Solve for x
    x = 774,274.69/823.63
  6. Step 6: Final answer
    x = 940.08

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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.