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Finding the Fourth Proportional to 1,182.64, 1,774.20 and 413.04

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Solution

The fourth proportional to 1,182.64, 1,774.20 and 413.04 is: 619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.64 : 1,774.20 = 413.04 : x
  2. Step 2: Convert to fraction form
    1,182.64/1,774.20 = 413.04/x
  3. Step 3: Cross multiply
    1,182.64x = 1,774.20 × 413.04
  4. Step 4: Simplify right side
    1,182.64x = 732,815.57
  5. Step 5: Solve for x
    x = 732,815.57/1,182.64
  6. Step 6: Final answer
    x = 619.64

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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.