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Finding the Fourth Proportional to 1,101.44, 1,519.98 and 659.36

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Solution

The fourth proportional to 1,101.44, 1,519.98 and 659.36 is: 909.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.44 : 1,519.98 = 659.36 : x
  2. Step 2: Convert to fraction form
    1,101.44/1,519.98 = 659.36/x
  3. Step 3: Cross multiply
    1,101.44x = 1,519.98 × 659.36
  4. Step 4: Simplify right side
    1,101.44x = 1,002,214.01
  5. Step 5: Solve for x
    x = 1,002,214.01/1,101.44
  6. Step 6: Final answer
    x = 909.91

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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.