Home / 1,433.24-2,149.92-459.32

Finding the Fourth Proportional to 1,433.24, 2,149.92 and 459.32

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Solution

The fourth proportional to 1,433.24, 2,149.92 and 459.32 is: 689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.24 : 2,149.92 = 459.32 : x
  2. Step 2: Convert to fraction form
    1,433.24/2,149.92 = 459.32/x
  3. Step 3: Cross multiply
    1,433.24x = 2,149.92 × 459.32
  4. Step 4: Simplify right side
    1,433.24x = 987,501.25
  5. Step 5: Solve for x
    x = 987,501.25/1,433.24
  6. Step 6: Final answer
    x = 689.00

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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.