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Finding the Fourth Proportional to 584.50, 875.89 and 324.19

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Solution

The fourth proportional to 584.50, 875.89 and 324.19 is: 485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.50 : 875.89 = 324.19 : x
  2. Step 2: Convert to fraction form
    584.50/875.89 = 324.19/x
  3. Step 3: Cross multiply
    584.50x = 875.89 × 324.19
  4. Step 4: Simplify right side
    584.50x = 283,954.78
  5. Step 5: Solve for x
    x = 283,954.78/584.50
  6. Step 6: Final answer
    x = 485.81

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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.