Home / 1,410.96-2,116.86-680.58

Finding the Fourth Proportional to 1,410.96, 2,116.86 and 680.58

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Solution

The fourth proportional to 1,410.96, 2,116.86 and 680.58 is: 1,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.96 : 2,116.86 = 680.58 : x
  2. Step 2: Convert to fraction form
    1,410.96/2,116.86 = 680.58/x
  3. Step 3: Cross multiply
    1,410.96x = 2,116.86 × 680.58
  4. Step 4: Simplify right side
    1,410.96x = 1,440,692.58
  5. Step 5: Solve for x
    x = 1,440,692.58/1,410.96
  6. Step 6: Final answer
    x = 1,021.07

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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.