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Finding the Fourth Proportional to 1,749.73, 2,625.15 and 517.15

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Solution

The fourth proportional to 1,749.73, 2,625.15 and 517.15 is: 775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.73 : 2,625.15 = 517.15 : x
  2. Step 2: Convert to fraction form
    1,749.73/2,625.15 = 517.15/x
  3. Step 3: Cross multiply
    1,749.73x = 2,625.15 × 517.15
  4. Step 4: Simplify right side
    1,749.73x = 1,357,591.70
  5. Step 5: Solve for x
    x = 1,357,591.70/1,749.73
  6. Step 6: Final answer
    x = 775.89

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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.