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Finding the Fourth Proportional to 1,328.11, 1,992.57 and 463.03

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Solution

The fourth proportional to 1,328.11, 1,992.57 and 463.03 is: 694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.11 : 1,992.57 = 463.03 : x
  2. Step 2: Convert to fraction form
    1,328.11/1,992.57 = 463.03/x
  3. Step 3: Cross multiply
    1,328.11x = 1,992.57 × 463.03
  4. Step 4: Simplify right side
    1,328.11x = 922,619.69
  5. Step 5: Solve for x
    x = 922,619.69/1,328.11
  6. Step 6: Final answer
    x = 694.69

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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.