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Finding the Fourth Proportional to 1,769.85, 2,442.46 and 983.89

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Solution

The fourth proportional to 1,769.85, 2,442.46 and 983.89 is: 1,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.85 : 2,442.46 = 983.89 : x
  2. Step 2: Convert to fraction form
    1,769.85/2,442.46 = 983.89/x
  3. Step 3: Cross multiply
    1,769.85x = 2,442.46 × 983.89
  4. Step 4: Simplify right side
    1,769.85x = 2,403,111.97
  5. Step 5: Solve for x
    x = 2,403,111.97/1,769.85
  6. Step 6: Final answer
    x = 1,357.81

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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.