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Finding the Fourth Proportional to 1,405.51, 2,107.96 and 418.32

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Solution

The fourth proportional to 1,405.51, 2,107.96 and 418.32 is: 627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.51 : 2,107.96 = 418.32 : x
  2. Step 2: Convert to fraction form
    1,405.51/2,107.96 = 418.32/x
  3. Step 3: Cross multiply
    1,405.51x = 2,107.96 × 418.32
  4. Step 4: Simplify right side
    1,405.51x = 881,800.78
  5. Step 5: Solve for x
    x = 881,800.78/1,405.51
  6. Step 6: Final answer
    x = 627.39

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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.