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Finding the Fourth Proportional to 1,278.96, 1,918.32 and 413.84

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Solution

The fourth proportional to 1,278.96, 1,918.32 and 413.84 is: 620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.96 : 1,918.32 = 413.84 : x
  2. Step 2: Convert to fraction form
    1,278.96/1,918.32 = 413.84/x
  3. Step 3: Cross multiply
    1,278.96x = 1,918.32 × 413.84
  4. Step 4: Simplify right side
    1,278.96x = 793,877.55
  5. Step 5: Solve for x
    x = 793,877.55/1,278.96
  6. Step 6: Final answer
    x = 620.72

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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.