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Finding the Fourth Proportional to 753.92, 1,131.04 and 364.20

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Solution

The fourth proportional to 753.92, 1,131.04 and 364.20 is: 546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.92 : 1,131.04 = 364.20 : x
  2. Step 2: Convert to fraction form
    753.92/1,131.04 = 364.20/x
  3. Step 3: Cross multiply
    753.92x = 1,131.04 × 364.20
  4. Step 4: Simplify right side
    753.92x = 411,918.93
  5. Step 5: Solve for x
    x = 411,918.93/753.92
  6. Step 6: Final answer
    x = 546.37

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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.