Home / 1,387.14-2,080.95-413.34

Finding the Fourth Proportional to 1,387.14, 2,080.95 and 413.34

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Solution

The fourth proportional to 1,387.14, 2,080.95 and 413.34 is: 620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.14 : 2,080.95 = 413.34 : x
  2. Step 2: Convert to fraction form
    1,387.14/2,080.95 = 413.34/x
  3. Step 3: Cross multiply
    1,387.14x = 2,080.95 × 413.34
  4. Step 4: Simplify right side
    1,387.14x = 860,139.87
  5. Step 5: Solve for x
    x = 860,139.87/1,387.14
  6. Step 6: Final answer
    x = 620.08

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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.