Home / 1,323.82-1,986.22-458.20

Finding the Fourth Proportional to 1,323.82, 1,986.22 and 458.20

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Solution

The fourth proportional to 1,323.82, 1,986.22 and 458.20 is: 687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.82 : 1,986.22 = 458.20 : x
  2. Step 2: Convert to fraction form
    1,323.82/1,986.22 = 458.20/x
  3. Step 3: Cross multiply
    1,323.82x = 1,986.22 × 458.20
  4. Step 4: Simplify right side
    1,323.82x = 910,086.00
  5. Step 5: Solve for x
    x = 910,086.00/1,323.82
  6. Step 6: Final answer
    x = 687.47

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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.