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Finding the Fourth Proportional to 1,093.39, 1,640.09 and 342.90

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Solution

The fourth proportional to 1,093.39, 1,640.09 and 342.90 is: 514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.39 : 1,640.09 = 342.90 : x
  2. Step 2: Convert to fraction form
    1,093.39/1,640.09 = 342.90/x
  3. Step 3: Cross multiply
    1,093.39x = 1,640.09 × 342.90
  4. Step 4: Simplify right side
    1,093.39x = 562,387.72
  5. Step 5: Solve for x
    x = 562,387.72/1,093.39
  6. Step 6: Final answer
    x = 514.35

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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.