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Finding the Fourth Proportional to 1,328.38, 1,992.63 and 462.76

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Solution

The fourth proportional to 1,328.38, 1,992.63 and 462.76 is: 694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.38 : 1,992.63 = 462.76 : x
  2. Step 2: Convert to fraction form
    1,328.38/1,992.63 = 462.76/x
  3. Step 3: Cross multiply
    1,328.38x = 1,992.63 × 462.76
  4. Step 4: Simplify right side
    1,328.38x = 922,109.46
  5. Step 5: Solve for x
    x = 922,109.46/1,328.38
  6. Step 6: Final answer
    x = 694.16

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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.