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Finding the Fourth Proportional to 1,770.97, 2,443.88 and 985.00

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Solution

The fourth proportional to 1,770.97, 2,443.88 and 985.00 is: 1,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.97 : 2,443.88 = 985.00 : x
  2. Step 2: Convert to fraction form
    1,770.97/2,443.88 = 985.00/x
  3. Step 3: Cross multiply
    1,770.97x = 2,443.88 × 985.00
  4. Step 4: Simplify right side
    1,770.97x = 2,407,219.93
  5. Step 5: Solve for x
    x = 2,407,219.93/1,770.97
  6. Step 6: Final answer
    x = 1,359.27

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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.