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Finding the Fourth Proportional to 871.05, 1,305.69 and 546.64

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Solution

The fourth proportional to 871.05, 1,305.69 and 546.64 is: 819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.05 : 1,305.69 = 546.64 : x
  2. Step 2: Convert to fraction form
    871.05/1,305.69 = 546.64/x
  3. Step 3: Cross multiply
    871.05x = 1,305.69 × 546.64
  4. Step 4: Simplify right side
    871.05x = 713,742.38
  5. Step 5: Solve for x
    x = 713,742.38/871.05
  6. Step 6: Final answer
    x = 819.40

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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.