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Finding the Fourth Proportional to 839.10, 1,265.09 and 782.63

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Solution

The fourth proportional to 839.10, 1,265.09 and 782.63 is: 1,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.10 : 1,265.09 = 782.63 : x
  2. Step 2: Convert to fraction form
    839.10/1,265.09 = 782.63/x
  3. Step 3: Cross multiply
    839.10x = 1,265.09 × 782.63
  4. Step 4: Simplify right side
    839.10x = 990,093.47
  5. Step 5: Solve for x
    x = 990,093.47/839.10
  6. Step 6: Final answer
    x = 1,179.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.