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Finding the Fourth Proportional to 753.83, 1,131.09 and 446.29

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Solution

The fourth proportional to 753.83, 1,131.09 and 446.29 is: 669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.83 : 1,131.09 = 446.29 : x
  2. Step 2: Convert to fraction form
    753.83/1,131.09 = 446.29/x
  3. Step 3: Cross multiply
    753.83x = 1,131.09 × 446.29
  4. Step 4: Simplify right side
    753.83x = 504,794.16
  5. Step 5: Solve for x
    x = 504,794.16/753.83
  6. Step 6: Final answer
    x = 669.64

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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.