Home / 1,324.11-1,986.13-458.40

Finding the Fourth Proportional to 1,324.11, 1,986.13 and 458.40

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Solution

The fourth proportional to 1,324.11, 1,986.13 and 458.40 is: 687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.11 : 1,986.13 = 458.40 : x
  2. Step 2: Convert to fraction form
    1,324.11/1,986.13 = 458.40/x
  3. Step 3: Cross multiply
    1,324.11x = 1,986.13 × 458.40
  4. Step 4: Simplify right side
    1,324.11x = 910,441.99
  5. Step 5: Solve for x
    x = 910,441.99/1,324.11
  6. Step 6: Final answer
    x = 687.59

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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.