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Finding the Fourth Proportional to 1,749.43, 2,624.55 and 579.39

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Solution

The fourth proportional to 1,749.43, 2,624.55 and 579.39 is: 869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.43 : 2,624.55 = 579.39 : x
  2. Step 2: Convert to fraction form
    1,749.43/2,624.55 = 579.39/x
  3. Step 3: Cross multiply
    1,749.43x = 2,624.55 × 579.39
  4. Step 4: Simplify right side
    1,749.43x = 1,520,638.02
  5. Step 5: Solve for x
    x = 1,520,638.02/1,749.43
  6. Step 6: Final answer
    x = 869.22

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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.