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Finding the Fourth Proportional to 584.43, 874.44 and 421.76

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Solution

The fourth proportional to 584.43, 874.44 and 421.76 is: 631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.43 : 874.44 = 421.76 : x
  2. Step 2: Convert to fraction form
    584.43/874.44 = 421.76/x
  3. Step 3: Cross multiply
    584.43x = 874.44 × 421.76
  4. Step 4: Simplify right side
    584.43x = 368,799.44
  5. Step 5: Solve for x
    x = 368,799.44/584.43
  6. Step 6: Final answer
    x = 631.04

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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.