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Finding the Fourth Proportional to 1,452.90, 2,179.17 and 413.00

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Solution

The fourth proportional to 1,452.90, 2,179.17 and 413.00 is: 619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.90 : 2,179.17 = 413.00 : x
  2. Step 2: Convert to fraction form
    1,452.90/2,179.17 = 413.00/x
  3. Step 3: Cross multiply
    1,452.90x = 2,179.17 × 413.00
  4. Step 4: Simplify right side
    1,452.90x = 899,986.31
  5. Step 5: Solve for x
    x = 899,986.31/1,452.90
  6. Step 6: Final answer
    x = 619.44

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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.