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Finding the Fourth Proportional to 1,100.93, 1,518.14 and 769.23

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Solution

The fourth proportional to 1,100.93, 1,518.14 and 769.23 is: 1,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.93 : 1,518.14 = 769.23 : x
  2. Step 2: Convert to fraction form
    1,100.93/1,518.14 = 769.23/x
  3. Step 3: Cross multiply
    1,100.93x = 1,518.14 × 769.23
  4. Step 4: Simplify right side
    1,100.93x = 1,167,800.76
  5. Step 5: Solve for x
    x = 1,167,800.76/1,100.93
  6. Step 6: Final answer
    x = 1,060.75

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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.