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Finding the Fourth Proportional to 584.09, 874.59 and 401.84

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Solution

The fourth proportional to 584.09, 874.59 and 401.84 is: 601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.09 : 874.59 = 401.84 : x
  2. Step 2: Convert to fraction form
    584.09/874.59 = 401.84/x
  3. Step 3: Cross multiply
    584.09x = 874.59 × 401.84
  4. Step 4: Simplify right side
    584.09x = 351,445.25
  5. Step 5: Solve for x
    x = 351,445.25/584.09
  6. Step 6: Final answer
    x = 601.70

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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.