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Finding the Fourth Proportional to 1,082.93, 1,494.44 and 663.23

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Solution

The fourth proportional to 1,082.93, 1,494.44 and 663.23 is: 915.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.93 : 1,494.44 = 663.23 : x
  2. Step 2: Convert to fraction form
    1,082.93/1,494.44 = 663.23/x
  3. Step 3: Cross multiply
    1,082.93x = 1,494.44 × 663.23
  4. Step 4: Simplify right side
    1,082.93x = 991,146.65
  5. Step 5: Solve for x
    x = 991,146.65/1,082.93
  6. Step 6: Final answer
    x = 915.25

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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.