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Finding the Fourth Proportional to 1,405, 2,107.25 and 417.79

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Solution

The fourth proportional to 1,405, 2,107.25 and 417.79 is: 626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405 : 2,107.25 = 417.79 : x
  2. Step 2: Convert to fraction form
    1,405/2,107.25 = 417.79/x
  3. Step 3: Cross multiply
    1,405x = 2,107.25 × 417.79
  4. Step 4: Simplify right side
    1,405x = 880,387.98
  5. Step 5: Solve for x
    x = 880,387.98/1,405
  6. Step 6: Final answer
    x = 626.61

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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.