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Finding the Fourth Proportional to 1,387.32, 2,080.56 and 413.16

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Solution

The fourth proportional to 1,387.32, 2,080.56 and 413.16 is: 619.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.32 : 2,080.56 = 413.16 : x
  2. Step 2: Convert to fraction form
    1,387.32/2,080.56 = 413.16/x
  3. Step 3: Cross multiply
    1,387.32x = 2,080.56 × 413.16
  4. Step 4: Simplify right side
    1,387.32x = 859,604.17
  5. Step 5: Solve for x
    x = 859,604.17/1,387.32
  6. Step 6: Final answer
    x = 619.61

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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.