Home / 1,082.06-1,492.67-723.77

Finding the Fourth Proportional to 1,082.06, 1,492.67 and 723.77

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Solution

The fourth proportional to 1,082.06, 1,492.67 and 723.77 is: 998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.06 : 1,492.67 = 723.77 : x
  2. Step 2: Convert to fraction form
    1,082.06/1,492.67 = 723.77/x
  3. Step 3: Cross multiply
    1,082.06x = 1,492.67 × 723.77
  4. Step 4: Simplify right side
    1,082.06x = 1,080,349.88
  5. Step 5: Solve for x
    x = 1,080,349.88/1,082.06
  6. Step 6: Final answer
    x = 998.42

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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.