Home / 1,461.83-2,191.19-680.92

Finding the Fourth Proportional to 1,461.83, 2,191.19 and 680.92

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Solution

The fourth proportional to 1,461.83, 2,191.19 and 680.92 is: 1,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.83 : 2,191.19 = 680.92 : x
  2. Step 2: Convert to fraction form
    1,461.83/2,191.19 = 680.92/x
  3. Step 3: Cross multiply
    1,461.83x = 2,191.19 × 680.92
  4. Step 4: Simplify right side
    1,461.83x = 1,492,016.21
  5. Step 5: Solve for x
    x = 1,492,016.21/1,461.83
  6. Step 6: Final answer
    x = 1,020.65

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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.