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Finding the Fourth Proportional to 746.11, 1,118.80 and 277.26

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Solution

The fourth proportional to 746.11, 1,118.80 and 277.26 is: 415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.11 : 1,118.80 = 277.26 : x
  2. Step 2: Convert to fraction form
    746.11/1,118.80 = 277.26/x
  3. Step 3: Cross multiply
    746.11x = 1,118.80 × 277.26
  4. Step 4: Simplify right side
    746.11x = 310,198.49
  5. Step 5: Solve for x
    x = 310,198.49/746.11
  6. Step 6: Final answer
    x = 415.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.