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Finding the Fourth Proportional to 1,679.21, 2,519.24 and 583.59

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Solution

The fourth proportional to 1,679.21, 2,519.24 and 583.59 is: 875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.21 : 2,519.24 = 583.59 : x
  2. Step 2: Convert to fraction form
    1,679.21/2,519.24 = 583.59/x
  3. Step 3: Cross multiply
    1,679.21x = 2,519.24 × 583.59
  4. Step 4: Simplify right side
    1,679.21x = 1,470,200.35
  5. Step 5: Solve for x
    x = 1,470,200.35/1,679.21
  6. Step 6: Final answer
    x = 875.53

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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.