Home / 1,082.40-1,623.42-302.46

Finding the Fourth Proportional to 1,082.40, 1,623.42 and 302.46

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Solution

The fourth proportional to 1,082.40, 1,623.42 and 302.46 is: 453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.40 : 1,623.42 = 302.46 : x
  2. Step 2: Convert to fraction form
    1,082.40/1,623.42 = 302.46/x
  3. Step 3: Cross multiply
    1,082.40x = 1,623.42 × 302.46
  4. Step 4: Simplify right side
    1,082.40x = 491,019.61
  5. Step 5: Solve for x
    x = 491,019.61/1,082.40
  6. Step 6: Final answer
    x = 453.64

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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.