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Finding the Fourth Proportional to 1,093.67, 1,639.42 and 508.85

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Solution

The fourth proportional to 1,093.67, 1,639.42 and 508.85 is: 762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.67 : 1,639.42 = 508.85 : x
  2. Step 2: Convert to fraction form
    1,093.67/1,639.42 = 508.85/x
  3. Step 3: Cross multiply
    1,093.67x = 1,639.42 × 508.85
  4. Step 4: Simplify right side
    1,093.67x = 834,218.87
  5. Step 5: Solve for x
    x = 834,218.87/1,093.67
  6. Step 6: Final answer
    x = 762.77

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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.