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Finding the Fourth Proportional to 1,381.82, 2,072.45 and 407.70

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Solution

The fourth proportional to 1,381.82, 2,072.45 and 407.70 is: 611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.82 : 2,072.45 = 407.70 : x
  2. Step 2: Convert to fraction form
    1,381.82/2,072.45 = 407.70/x
  3. Step 3: Cross multiply
    1,381.82x = 2,072.45 × 407.70
  4. Step 4: Simplify right side
    1,381.82x = 844,938.88
  5. Step 5: Solve for x
    x = 844,938.88/1,381.82
  6. Step 6: Final answer
    x = 611.47

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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.