Home / 1,723.12-2,584.67-537.17

Finding the Fourth Proportional to 1,723.12, 2,584.67 and 537.17

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Solution

The fourth proportional to 1,723.12, 2,584.67 and 537.17 is: 805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.12 : 2,584.67 = 537.17 : x
  2. Step 2: Convert to fraction form
    1,723.12/2,584.67 = 537.17/x
  3. Step 3: Cross multiply
    1,723.12x = 2,584.67 × 537.17
  4. Step 4: Simplify right side
    1,723.12x = 1,388,407.18
  5. Step 5: Solve for x
    x = 1,388,407.18/1,723.12
  6. Step 6: Final answer
    x = 805.75

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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.