Home / 1,163.64-1,746.26-433.80

Finding the Fourth Proportional to 1,163.64, 1,746.26 and 433.80

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Solution

The fourth proportional to 1,163.64, 1,746.26 and 433.80 is: 651.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.64 : 1,746.26 = 433.80 : x
  2. Step 2: Convert to fraction form
    1,163.64/1,746.26 = 433.80/x
  3. Step 3: Cross multiply
    1,163.64x = 1,746.26 × 433.80
  4. Step 4: Simplify right side
    1,163.64x = 757,527.59
  5. Step 5: Solve for x
    x = 757,527.59/1,163.64
  6. Step 6: Final answer
    x = 651.00

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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.