Home / 1,628.11-2,441.89-458.19

Finding the Fourth Proportional to 1,628.11, 2,441.89 and 458.19

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Solution

The fourth proportional to 1,628.11, 2,441.89 and 458.19 is: 687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.11 : 2,441.89 = 458.19 : x
  2. Step 2: Convert to fraction form
    1,628.11/2,441.89 = 458.19/x
  3. Step 3: Cross multiply
    1,628.11x = 2,441.89 × 458.19
  4. Step 4: Simplify right side
    1,628.11x = 1,118,849.58
  5. Step 5: Solve for x
    x = 1,118,849.58/1,628.11
  6. Step 6: Final answer
    x = 687.21

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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.