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Finding the Fourth Proportional to 584.01, 874.57 and 339.79

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Solution

The fourth proportional to 584.01, 874.57 and 339.79 is: 508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.01 : 874.57 = 339.79 : x
  2. Step 2: Convert to fraction form
    584.01/874.57 = 339.79/x
  3. Step 3: Cross multiply
    584.01x = 874.57 × 339.79
  4. Step 4: Simplify right side
    584.01x = 297,170.14
  5. Step 5: Solve for x
    x = 297,170.14/584.01
  6. Step 6: Final answer
    x = 508.84

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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.