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Finding the Fourth Proportional to 892.89, 1,339.83 and 482.01

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Solution

The fourth proportional to 892.89, 1,339.83 and 482.01 is: 723.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.89 : 1,339.83 = 482.01 : x
  2. Step 2: Convert to fraction form
    892.89/1,339.83 = 482.01/x
  3. Step 3: Cross multiply
    892.89x = 1,339.83 × 482.01
  4. Step 4: Simplify right side
    892.89x = 645,811.46
  5. Step 5: Solve for x
    x = 645,811.46/892.89
  6. Step 6: Final answer
    x = 723.28

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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.