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Finding the Fourth Proportional to 1,093.50, 1,640.79 and 477.09

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Solution

The fourth proportional to 1,093.50, 1,640.79 and 477.09 is: 715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.50 : 1,640.79 = 477.09 : x
  2. Step 2: Convert to fraction form
    1,093.50/1,640.79 = 477.09/x
  3. Step 3: Cross multiply
    1,093.50x = 1,640.79 × 477.09
  4. Step 4: Simplify right side
    1,093.50x = 782,804.50
  5. Step 5: Solve for x
    x = 782,804.50/1,093.50
  6. Step 6: Final answer
    x = 715.87

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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.