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Finding the Fourth Proportional to 1,381.38, 2,072.34 and 407.55

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Solution

The fourth proportional to 1,381.38, 2,072.34 and 407.55 is: 611.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.38 : 2,072.34 = 407.55 : x
  2. Step 2: Convert to fraction form
    1,381.38/2,072.34 = 407.55/x
  3. Step 3: Cross multiply
    1,381.38x = 2,072.34 × 407.55
  4. Step 4: Simplify right side
    1,381.38x = 844,582.17
  5. Step 5: Solve for x
    x = 844,582.17/1,381.38
  6. Step 6: Final answer
    x = 611.40

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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.