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Finding the Fourth Proportional to 1,326.28, 1,989.09 and 546.50

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Solution

The fourth proportional to 1,326.28, 1,989.09 and 546.50 is: 819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.28 : 1,989.09 = 546.50 : x
  2. Step 2: Convert to fraction form
    1,326.28/1,989.09 = 546.50/x
  3. Step 3: Cross multiply
    1,326.28x = 1,989.09 × 546.50
  4. Step 4: Simplify right side
    1,326.28x = 1,087,037.69
  5. Step 5: Solve for x
    x = 1,087,037.69/1,326.28
  6. Step 6: Final answer
    x = 819.61

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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.