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Finding the Fourth Proportional to 1,093.71, 1,640.87 and 477.47

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Solution

The fourth proportional to 1,093.71, 1,640.87 and 477.47 is: 716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.71 : 1,640.87 = 477.47 : x
  2. Step 2: Convert to fraction form
    1,093.71/1,640.87 = 477.47/x
  3. Step 3: Cross multiply
    1,093.71x = 1,640.87 × 477.47
  4. Step 4: Simplify right side
    1,093.71x = 783,455.61
  5. Step 5: Solve for x
    x = 783,455.61/1,093.71
  6. Step 6: Final answer
    x = 716.33

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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.