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Finding the Fourth Proportional to 1,735.87, 2,604.48 and 640.35

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Solution

The fourth proportional to 1,735.87, 2,604.48 and 640.35 is: 960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.87 : 2,604.48 = 640.35 : x
  2. Step 2: Convert to fraction form
    1,735.87/2,604.48 = 640.35/x
  3. Step 3: Cross multiply
    1,735.87x = 2,604.48 × 640.35
  4. Step 4: Simplify right side
    1,735.87x = 1,667,778.77
  5. Step 5: Solve for x
    x = 1,667,778.77/1,735.87
  6. Step 6: Final answer
    x = 960.77

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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.