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Finding the Fourth Proportional to 1,411.08, 2,116.92 and 486.41

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Solution

The fourth proportional to 1,411.08, 2,116.92 and 486.41 is: 729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.08 : 2,116.92 = 486.41 : x
  2. Step 2: Convert to fraction form
    1,411.08/2,116.92 = 486.41/x
  3. Step 3: Cross multiply
    1,411.08x = 2,116.92 × 486.41
  4. Step 4: Simplify right side
    1,411.08x = 1,029,680.47
  5. Step 5: Solve for x
    x = 1,029,680.47/1,411.08
  6. Step 6: Final answer
    x = 729.71

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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.