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Finding the Fourth Proportional to 1,093.84, 1,640.51 and 391.01

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Solution

The fourth proportional to 1,093.84, 1,640.51 and 391.01 is: 586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.84 : 1,640.51 = 391.01 : x
  2. Step 2: Convert to fraction form
    1,093.84/1,640.51 = 391.01/x
  3. Step 3: Cross multiply
    1,093.84x = 1,640.51 × 391.01
  4. Step 4: Simplify right side
    1,093.84x = 641,453.86
  5. Step 5: Solve for x
    x = 641,453.86/1,093.84
  6. Step 6: Final answer
    x = 586.43

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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.