Home / 1,496.30-2,242.82-976.68

Finding the Fourth Proportional to 1,496.30, 2,242.82 and 976.68

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Solution

The fourth proportional to 1,496.30, 2,242.82 and 976.68 is: 1,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.30 : 2,242.82 = 976.68 : x
  2. Step 2: Convert to fraction form
    1,496.30/2,242.82 = 976.68/x
  3. Step 3: Cross multiply
    1,496.30x = 2,242.82 × 976.68
  4. Step 4: Simplify right side
    1,496.30x = 2,190,519.88
  5. Step 5: Solve for x
    x = 2,190,519.88/1,496.30
  6. Step 6: Final answer
    x = 1,463.96

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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.