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Finding the Fourth Proportional to 982.97, 1,357.67 and 853.59

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Solution

The fourth proportional to 982.97, 1,357.67 and 853.59 is: 1,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.97 : 1,357.67 = 853.59 : x
  2. Step 2: Convert to fraction form
    982.97/1,357.67 = 853.59/x
  3. Step 3: Cross multiply
    982.97x = 1,357.67 × 853.59
  4. Step 4: Simplify right side
    982.97x = 1,158,895.67
  5. Step 5: Solve for x
    x = 1,158,895.67/982.97
  6. Step 6: Final answer
    x = 1,178.98

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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.