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Finding the Fourth Proportional to 1,463.41, 2,193.32 and 640.72

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Solution

The fourth proportional to 1,463.41, 2,193.32 and 640.72 is: 960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.41 : 2,193.32 = 640.72 : x
  2. Step 2: Convert to fraction form
    1,463.41/2,193.32 = 640.72/x
  3. Step 3: Cross multiply
    1,463.41x = 2,193.32 × 640.72
  4. Step 4: Simplify right side
    1,463.41x = 1,405,310.97
  5. Step 5: Solve for x
    x = 1,405,310.97/1,463.41
  6. Step 6: Final answer
    x = 960.30

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1.5x scale

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.