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Finding the Fourth Proportional to 1,082.40, 1,623.52 and 534.40

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Solution

The fourth proportional to 1,082.40, 1,623.52 and 534.40 is: 801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.40 : 1,623.52 = 534.40 : x
  2. Step 2: Convert to fraction form
    1,082.40/1,623.52 = 534.40/x
  3. Step 3: Cross multiply
    1,082.40x = 1,623.52 × 534.40
  4. Step 4: Simplify right side
    1,082.40x = 867,609.09
  5. Step 5: Solve for x
    x = 867,609.09/1,082.40
  6. Step 6: Final answer
    x = 801.56

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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.