Home / 1,433.24-2,149.40-459.11

Finding the Fourth Proportional to 1,433.24, 2,149.40 and 459.11

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Solution

The fourth proportional to 1,433.24, 2,149.40 and 459.11 is: 688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.24 : 2,149.40 = 459.11 : x
  2. Step 2: Convert to fraction form
    1,433.24/2,149.40 = 459.11/x
  3. Step 3: Cross multiply
    1,433.24x = 2,149.40 × 459.11
  4. Step 4: Simplify right side
    1,433.24x = 986,811.03
  5. Step 5: Solve for x
    x = 986,811.03/1,433.24
  6. Step 6: Final answer
    x = 688.52

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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.