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Finding the Fourth Proportional to 1,517.93, 2,275.38 and 640.67

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Solution

The fourth proportional to 1,517.93, 2,275.38 and 640.67 is: 960.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.93 : 2,275.38 = 640.67 : x
  2. Step 2: Convert to fraction form
    1,517.93/2,275.38 = 640.67/x
  3. Step 3: Cross multiply
    1,517.93x = 2,275.38 × 640.67
  4. Step 4: Simplify right side
    1,517.93x = 1,457,756.33
  5. Step 5: Solve for x
    x = 1,457,756.33/1,517.93
  6. Step 6: Final answer
    x = 960.36

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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.