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Finding the Fourth Proportional to 1,082.99, 1,623.47 and 534.62

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Solution

The fourth proportional to 1,082.99, 1,623.47 and 534.62 is: 801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.99 : 1,623.47 = 534.62 : x
  2. Step 2: Convert to fraction form
    1,082.99/1,623.47 = 534.62/x
  3. Step 3: Cross multiply
    1,082.99x = 1,623.47 × 534.62
  4. Step 4: Simplify right side
    1,082.99x = 867,928.74
  5. Step 5: Solve for x
    x = 867,928.74/1,082.99
  6. Step 6: Final answer
    x = 801.42

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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.