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Finding the Fourth Proportional to 584.09, 871.86 and 514.89

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Solution

The fourth proportional to 584.09, 871.86 and 514.89 is: 768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.09 : 871.86 = 514.89 : x
  2. Step 2: Convert to fraction form
    584.09/871.86 = 514.89/x
  3. Step 3: Cross multiply
    584.09x = 871.86 × 514.89
  4. Step 4: Simplify right side
    584.09x = 448,912.00
  5. Step 5: Solve for x
    x = 448,912.00/584.09
  6. Step 6: Final answer
    x = 768.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.