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Finding the Fourth Proportional to 1,279.42, 1,918.65 and 413.50

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Solution

The fourth proportional to 1,279.42, 1,918.65 and 413.50 is: 620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.42 : 1,918.65 = 413.50 : x
  2. Step 2: Convert to fraction form
    1,279.42/1,918.65 = 413.50/x
  3. Step 3: Cross multiply
    1,279.42x = 1,918.65 × 413.50
  4. Step 4: Simplify right side
    1,279.42x = 793,361.78
  5. Step 5: Solve for x
    x = 793,361.78/1,279.42
  6. Step 6: Final answer
    x = 620.09

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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.