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Finding the Fourth Proportional to 1,381.61, 2,072.19 and 407.48

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Solution

The fourth proportional to 1,381.61, 2,072.19 and 407.48 is: 611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.61 : 2,072.19 = 407.48 : x
  2. Step 2: Convert to fraction form
    1,381.61/2,072.19 = 407.48/x
  3. Step 3: Cross multiply
    1,381.61x = 2,072.19 × 407.48
  4. Step 4: Simplify right side
    1,381.61x = 844,373.94
  5. Step 5: Solve for x
    x = 844,373.94/1,381.61
  6. Step 6: Final answer
    x = 611.15

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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.