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Finding the Fourth Proportional to 910.11, 1,363.11 and 746.09

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Solution

The fourth proportional to 910.11, 1,363.11 and 746.09 is: 1,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.11 : 1,363.11 = 746.09 : x
  2. Step 2: Convert to fraction form
    910.11/1,363.11 = 746.09/x
  3. Step 3: Cross multiply
    910.11x = 1,363.11 × 746.09
  4. Step 4: Simplify right side
    910.11x = 1,016,995.92
  5. Step 5: Solve for x
    x = 1,016,995.92/910.11
  6. Step 6: Final answer
    x = 1,117.44

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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.