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Finding the Fourth Proportional to 1,266.53, 1,746.96 and 1,100.46

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Solution

The fourth proportional to 1,266.53, 1,746.96 and 1,100.46 is: 1,517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.53 : 1,746.96 = 1,100.46 : x
  2. Step 2: Convert to fraction form
    1,266.53/1,746.96 = 1,100.46/x
  3. Step 3: Cross multiply
    1,266.53x = 1,746.96 × 1,100.46
  4. Step 4: Simplify right side
    1,266.53x = 1,922,448.92
  5. Step 5: Solve for x
    x = 1,922,448.92/1,266.53
  6. Step 6: Final answer
    x = 1,517.89

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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.