Home / 1,538.24-2,308.26-613.88

Finding the Fourth Proportional to 1,538.24, 2,308.26 and 613.88

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Solution

The fourth proportional to 1,538.24, 2,308.26 and 613.88 is: 921.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.24 : 2,308.26 = 613.88 : x
  2. Step 2: Convert to fraction form
    1,538.24/2,308.26 = 613.88/x
  3. Step 3: Cross multiply
    1,538.24x = 2,308.26 × 613.88
  4. Step 4: Simplify right side
    1,538.24x = 1,416,994.65
  5. Step 5: Solve for x
    x = 1,416,994.65/1,538.24
  6. Step 6: Final answer
    x = 921.18

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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.