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Finding the Fourth Proportional to 1,082.71, 1,623.76 and 302.53

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Solution

The fourth proportional to 1,082.71, 1,623.76 and 302.53 is: 453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.71 : 1,623.76 = 302.53 : x
  2. Step 2: Convert to fraction form
    1,082.71/1,623.76 = 302.53/x
  3. Step 3: Cross multiply
    1,082.71x = 1,623.76 × 302.53
  4. Step 4: Simplify right side
    1,082.71x = 491,236.11
  5. Step 5: Solve for x
    x = 491,236.11/1,082.71
  6. Step 6: Final answer
    x = 453.71

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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.