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Finding the Fourth Proportional to 584.48, 878.32 and 423.20

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Solution

The fourth proportional to 584.48, 878.32 and 423.20 is: 635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.48 : 878.32 = 423.20 : x
  2. Step 2: Convert to fraction form
    584.48/878.32 = 423.20/x
  3. Step 3: Cross multiply
    584.48x = 878.32 × 423.20
  4. Step 4: Simplify right side
    584.48x = 371,705.02
  5. Step 5: Solve for x
    x = 371,705.02/584.48
  6. Step 6: Final answer
    x = 635.96

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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.