Home / 1,654.34-2,480.55-680.19

Finding the Fourth Proportional to 1,654.34, 2,480.55 and 680.19

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Solution

The fourth proportional to 1,654.34, 2,480.55 and 680.19 is: 1,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.34 : 2,480.55 = 680.19 : x
  2. Step 2: Convert to fraction form
    1,654.34/2,480.55 = 680.19/x
  3. Step 3: Cross multiply
    1,654.34x = 2,480.55 × 680.19
  4. Step 4: Simplify right side
    1,654.34x = 1,687,245.30
  5. Step 5: Solve for x
    x = 1,687,245.30/1,654.34
  6. Step 6: Final answer
    x = 1,019.89

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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.