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Finding the Fourth Proportional to 584.93, 877.78 and 311.22

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Solution

The fourth proportional to 584.93, 877.78 and 311.22 is: 467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.93 : 877.78 = 311.22 : x
  2. Step 2: Convert to fraction form
    584.93/877.78 = 311.22/x
  3. Step 3: Cross multiply
    584.93x = 877.78 × 311.22
  4. Step 4: Simplify right side
    584.93x = 273,177.52
  5. Step 5: Solve for x
    x = 273,177.52/584.93
  6. Step 6: Final answer
    x = 467.03

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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.