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Finding the Fourth Proportional to 806.68, 1,203.23 and 782.38

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Solution

The fourth proportional to 806.68, 1,203.23 and 782.38 is: 1,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.68 : 1,203.23 = 782.38 : x
  2. Step 2: Convert to fraction form
    806.68/1,203.23 = 782.38/x
  3. Step 3: Cross multiply
    806.68x = 1,203.23 × 782.38
  4. Step 4: Simplify right side
    806.68x = 941,383.09
  5. Step 5: Solve for x
    x = 941,383.09/806.68
  6. Step 6: Final answer
    x = 1,166.98

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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.