Home / 1,405.07-2,107.90-417.80

Finding the Fourth Proportional to 1,405.07, 2,107.90 and 417.80

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Solution

The fourth proportional to 1,405.07, 2,107.90 and 417.80 is: 626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.07 : 2,107.90 = 417.80 : x
  2. Step 2: Convert to fraction form
    1,405.07/2,107.90 = 417.80/x
  3. Step 3: Cross multiply
    1,405.07x = 2,107.90 × 417.80
  4. Step 4: Simplify right side
    1,405.07x = 880,680.62
  5. Step 5: Solve for x
    x = 880,680.62/1,405.07
  6. Step 6: Final answer
    x = 626.79

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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.