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Finding the Fourth Proportional to 1,387.86, 2,081.77 and 414.62

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Solution

The fourth proportional to 1,387.86, 2,081.77 and 414.62 is: 621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.86 : 2,081.77 = 414.62 : x
  2. Step 2: Convert to fraction form
    1,387.86/2,081.77 = 414.62/x
  3. Step 3: Cross multiply
    1,387.86x = 2,081.77 × 414.62
  4. Step 4: Simplify right side
    1,387.86x = 863,143.48
  5. Step 5: Solve for x
    x = 863,143.48/1,387.86
  6. Step 6: Final answer
    x = 621.92

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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.