Home / 1,628.08-2,442.29-458.09

Finding the Fourth Proportional to 1,628.08, 2,442.29 and 458.09

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Solution

The fourth proportional to 1,628.08, 2,442.29 and 458.09 is: 687.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.08 : 2,442.29 = 458.09 : x
  2. Step 2: Convert to fraction form
    1,628.08/2,442.29 = 458.09/x
  3. Step 3: Cross multiply
    1,628.08x = 2,442.29 × 458.09
  4. Step 4: Simplify right side
    1,628.08x = 1,118,788.63
  5. Step 5: Solve for x
    x = 1,118,788.63/1,628.08
  6. Step 6: Final answer
    x = 687.18

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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.