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Finding the Fourth Proportional to 1,082.34, 1,493.16 and 723.00

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Solution

The fourth proportional to 1,082.34, 1,493.16 and 723.00 is: 997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.34 : 1,493.16 = 723.00 : x
  2. Step 2: Convert to fraction form
    1,082.34/1,493.16 = 723.00/x
  3. Step 3: Cross multiply
    1,082.34x = 1,493.16 × 723.00
  4. Step 4: Simplify right side
    1,082.34x = 1,079,555.40
  5. Step 5: Solve for x
    x = 1,079,555.40/1,082.34
  6. Step 6: Final answer
    x = 997.43

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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.