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Finding the Fourth Proportional to 584.67, 874.38 and 520.08

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Solution

The fourth proportional to 584.67, 874.38 and 520.08 is: 777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.67 : 874.38 = 520.08 : x
  2. Step 2: Convert to fraction form
    584.67/874.38 = 520.08/x
  3. Step 3: Cross multiply
    584.67x = 874.38 × 520.08
  4. Step 4: Simplify right side
    584.67x = 454,747.55
  5. Step 5: Solve for x
    x = 454,747.55/584.67
  6. Step 6: Final answer
    x = 777.78

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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.