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Finding the Fourth Proportional to 1,100.16, 1,519.70 and 880.68

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Solution

The fourth proportional to 1,100.16, 1,519.70 and 880.68 is: 1,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.16 : 1,519.70 = 880.68 : x
  2. Step 2: Convert to fraction form
    1,100.16/1,519.70 = 880.68/x
  3. Step 3: Cross multiply
    1,100.16x = 1,519.70 × 880.68
  4. Step 4: Simplify right side
    1,100.16x = 1,338,369.40
  5. Step 5: Solve for x
    x = 1,338,369.40/1,100.16
  6. Step 6: Final answer
    x = 1,216.52

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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.