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Finding the Fourth Proportional to 1,395.19, 2,092.48 and 408

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Solution

The fourth proportional to 1,395.19, 2,092.48 and 408 is: 611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.19 : 2,092.48 = 408 : x
  2. Step 2: Convert to fraction form
    1,395.19/2,092.48 = 408/x
  3. Step 3: Cross multiply
    1,395.19x = 2,092.48 × 408
  4. Step 4: Simplify right side
    1,395.19x = 853,731.84
  5. Step 5: Solve for x
    x = 853,731.84/1,395.19
  6. Step 6: Final answer
    x = 611.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.