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Finding the Fourth Proportional to 1,694.62, 2,338.62 and 948.58

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Solution

The fourth proportional to 1,694.62, 2,338.62 and 948.58 is: 1,309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.62 : 2,338.62 = 948.58 : x
  2. Step 2: Convert to fraction form
    1,694.62/2,338.62 = 948.58/x
  3. Step 3: Cross multiply
    1,694.62x = 2,338.62 × 948.58
  4. Step 4: Simplify right side
    1,694.62x = 2,218,356.47
  5. Step 5: Solve for x
    x = 2,218,356.47/1,694.62
  6. Step 6: Final answer
    x = 1,309.06

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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.