Home / 1,535.24-2,302.92-439.62

Finding the Fourth Proportional to 1,535.24, 2,302.92 and 439.62

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Solution

The fourth proportional to 1,535.24, 2,302.92 and 439.62 is: 659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.24 : 2,302.92 = 439.62 : x
  2. Step 2: Convert to fraction form
    1,535.24/2,302.92 = 439.62/x
  3. Step 3: Cross multiply
    1,535.24x = 2,302.92 × 439.62
  4. Step 4: Simplify right side
    1,535.24x = 1,012,409.69
  5. Step 5: Solve for x
    x = 1,012,409.69/1,535.24
  6. Step 6: Final answer
    x = 659.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.