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Finding the Fourth Proportional to 1,567.88, 2,351.84 and 413.62

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Solution

The fourth proportional to 1,567.88, 2,351.84 and 413.62 is: 620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.88 : 2,351.84 = 413.62 : x
  2. Step 2: Convert to fraction form
    1,567.88/2,351.84 = 413.62/x
  3. Step 3: Cross multiply
    1,567.88x = 2,351.84 × 413.62
  4. Step 4: Simplify right side
    1,567.88x = 972,768.06
  5. Step 5: Solve for x
    x = 972,768.06/1,567.88
  6. Step 6: Final answer
    x = 620.44

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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.