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Finding the Fourth Proportional to 892.68, 1,341.46 and 546.08

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Solution

The fourth proportional to 892.68, 1,341.46 and 546.08 is: 820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.68 : 1,341.46 = 546.08 : x
  2. Step 2: Convert to fraction form
    892.68/1,341.46 = 546.08/x
  3. Step 3: Cross multiply
    892.68x = 1,341.46 × 546.08
  4. Step 4: Simplify right side
    892.68x = 732,544.48
  5. Step 5: Solve for x
    x = 732,544.48/892.68
  6. Step 6: Final answer
    x = 820.61

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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.