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Finding the Fourth Proportional to 1,093.92, 1,509.75 and 628.17

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Solution

The fourth proportional to 1,093.92, 1,509.75 and 628.17 is: 866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.92 : 1,509.75 = 628.17 : x
  2. Step 2: Convert to fraction form
    1,093.92/1,509.75 = 628.17/x
  3. Step 3: Cross multiply
    1,093.92x = 1,509.75 × 628.17
  4. Step 4: Simplify right side
    1,093.92x = 948,379.66
  5. Step 5: Solve for x
    x = 948,379.66/1,093.92
  6. Step 6: Final answer
    x = 866.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.