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Finding the Fourth Proportional to 584.91, 877.82 and 311.23

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Solution

The fourth proportional to 584.91, 877.82 and 311.23 is: 467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.91 : 877.82 = 311.23 : x
  2. Step 2: Convert to fraction form
    584.91/877.82 = 311.23/x
  3. Step 3: Cross multiply
    584.91x = 877.82 × 311.23
  4. Step 4: Simplify right side
    584.91x = 273,203.92
  5. Step 5: Solve for x
    x = 273,203.92/584.91
  6. Step 6: Final answer
    x = 467.09

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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.