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Finding the Fourth Proportional to 1,381.23, 2,072.25 and 650.88

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Solution

The fourth proportional to 1,381.23, 2,072.25 and 650.88 is: 976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.23 : 2,072.25 = 650.88 : x
  2. Step 2: Convert to fraction form
    1,381.23/2,072.25 = 650.88/x
  3. Step 3: Cross multiply
    1,381.23x = 2,072.25 × 650.88
  4. Step 4: Simplify right side
    1,381.23x = 1,348,772.46
  5. Step 5: Solve for x
    x = 1,348,772.46/1,381.23
  6. Step 6: Final answer
    x = 976.50

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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.