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Finding the Fourth Proportional to 1,723.22, 2,584.78 and 553.17

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Solution

The fourth proportional to 1,723.22, 2,584.78 and 553.17 is: 829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.22 : 2,584.78 = 553.17 : x
  2. Step 2: Convert to fraction form
    1,723.22/2,584.78 = 553.17/x
  3. Step 3: Cross multiply
    1,723.22x = 2,584.78 × 553.17
  4. Step 4: Simplify right side
    1,723.22x = 1,429,821.37
  5. Step 5: Solve for x
    x = 1,429,821.37/1,723.22
  6. Step 6: Final answer
    x = 829.74

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1.5x scale

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.