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Finding the Fourth Proportional to 1,279.89, 1,920.21 and 414.18

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Solution

The fourth proportional to 1,279.89, 1,920.21 and 414.18 is: 621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.89 : 1,920.21 = 414.18 : x
  2. Step 2: Convert to fraction form
    1,279.89/1,920.21 = 414.18/x
  3. Step 3: Cross multiply
    1,279.89x = 1,920.21 × 414.18
  4. Step 4: Simplify right side
    1,279.89x = 795,312.58
  5. Step 5: Solve for x
    x = 795,312.58/1,279.89
  6. Step 6: Final answer
    x = 621.39

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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.