Home / 1,612.31-2,418.70-458.03

Finding the Fourth Proportional to 1,612.31, 2,418.70 and 458.03

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Solution

The fourth proportional to 1,612.31, 2,418.70 and 458.03 is: 687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.31 : 2,418.70 = 458.03 : x
  2. Step 2: Convert to fraction form
    1,612.31/2,418.70 = 458.03/x
  3. Step 3: Cross multiply
    1,612.31x = 2,418.70 × 458.03
  4. Step 4: Simplify right side
    1,612.31x = 1,107,823.92
  5. Step 5: Solve for x
    x = 1,107,823.92/1,612.31
  6. Step 6: Final answer
    x = 687.11

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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.