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Finding the Fourth Proportional to 1,101.85, 1,519.89 and 708.19

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Solution

The fourth proportional to 1,101.85, 1,519.89 and 708.19 is: 976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.85 : 1,519.89 = 708.19 : x
  2. Step 2: Convert to fraction form
    1,101.85/1,519.89 = 708.19/x
  3. Step 3: Cross multiply
    1,101.85x = 1,519.89 × 708.19
  4. Step 4: Simplify right side
    1,101.85x = 1,076,370.90
  5. Step 5: Solve for x
    x = 1,076,370.90/1,101.85
  6. Step 6: Final answer
    x = 976.88

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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.