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Finding the Fourth Proportional to 855.45, 1,182.83 and 746.10

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Solution

The fourth proportional to 855.45, 1,182.83 and 746.10 is: 1,031.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.45 : 1,182.83 = 746.10 : x
  2. Step 2: Convert to fraction form
    855.45/1,182.83 = 746.10/x
  3. Step 3: Cross multiply
    855.45x = 1,182.83 × 746.10
  4. Step 4: Simplify right side
    855.45x = 882,505.73
  5. Step 5: Solve for x
    x = 882,505.73/855.45
  6. Step 6: Final answer
    x = 1,031.63

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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.