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Finding the Fourth Proportional to 871.00, 1,304.82 and 504.68

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Solution

The fourth proportional to 871.00, 1,304.82 and 504.68 is: 756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.00 : 1,304.82 = 504.68 : x
  2. Step 2: Convert to fraction form
    871.00/1,304.82 = 504.68/x
  3. Step 3: Cross multiply
    871.00x = 1,304.82 × 504.68
  4. Step 4: Simplify right side
    871.00x = 658,510.03
  5. Step 5: Solve for x
    x = 658,510.03/871.00
  6. Step 6: Final answer
    x = 756.04

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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.