Home / 1,082.35-1,490.36-923.79

Finding the Fourth Proportional to 1,082.35, 1,490.36 and 923.79

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Solution

The fourth proportional to 1,082.35, 1,490.36 and 923.79 is: 1,272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.35 : 1,490.36 = 923.79 : x
  2. Step 2: Convert to fraction form
    1,082.35/1,490.36 = 923.79/x
  3. Step 3: Cross multiply
    1,082.35x = 1,490.36 × 923.79
  4. Step 4: Simplify right side
    1,082.35x = 1,376,779.66
  5. Step 5: Solve for x
    x = 1,376,779.66/1,082.35
  6. Step 6: Final answer
    x = 1,272.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.