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Finding the Fourth Proportional to 1,459.26, 2,189.94 and 581.26

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Solution

The fourth proportional to 1,459.26, 2,189.94 and 581.26 is: 872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.26 : 2,189.94 = 581.26 : x
  2. Step 2: Convert to fraction form
    1,459.26/2,189.94 = 581.26/x
  3. Step 3: Cross multiply
    1,459.26x = 2,189.94 × 581.26
  4. Step 4: Simplify right side
    1,459.26x = 1,272,916.62
  5. Step 5: Solve for x
    x = 1,272,916.62/1,459.26
  6. Step 6: Final answer
    x = 872.30

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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.