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Finding the Fourth Proportional to 1,111.95, 1,668.20 and 331.92

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Solution

The fourth proportional to 1,111.95, 1,668.20 and 331.92 is: 497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.95 : 1,668.20 = 331.92 : x
  2. Step 2: Convert to fraction form
    1,111.95/1,668.20 = 331.92/x
  3. Step 3: Cross multiply
    1,111.95x = 1,668.20 × 331.92
  4. Step 4: Simplify right side
    1,111.95x = 553,713.11
  5. Step 5: Solve for x
    x = 553,713.11/1,111.95
  6. Step 6: Final answer
    x = 497.96

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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.