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Finding the Fourth Proportional to 1,679.29, 2,519.64 and 899.09

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Solution

The fourth proportional to 1,679.29, 2,519.64 and 899.09 is: 1,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.29 : 2,519.64 = 899.09 : x
  2. Step 2: Convert to fraction form
    1,679.29/2,519.64 = 899.09/x
  3. Step 3: Cross multiply
    1,679.29x = 2,519.64 × 899.09
  4. Step 4: Simplify right side
    1,679.29x = 2,265,379.98
  5. Step 5: Solve for x
    x = 2,265,379.98/1,679.29
  6. Step 6: Final answer
    x = 1,349.01

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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.