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Finding the Fourth Proportional to 1,340.58, 2,009.42 and 518.60

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Solution

The fourth proportional to 1,340.58, 2,009.42 and 518.60 is: 777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.58 : 2,009.42 = 518.60 : x
  2. Step 2: Convert to fraction form
    1,340.58/2,009.42 = 518.60/x
  3. Step 3: Cross multiply
    1,340.58x = 2,009.42 × 518.60
  4. Step 4: Simplify right side
    1,340.58x = 1,042,085.21
  5. Step 5: Solve for x
    x = 1,042,085.21/1,340.58
  6. Step 6: Final answer
    x = 777.34

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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.