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Finding the Fourth Proportional to 582.21, 872.34 and 428.19

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Solution

The fourth proportional to 582.21, 872.34 and 428.19 is: 641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.21 : 872.34 = 428.19 : x
  2. Step 2: Convert to fraction form
    582.21/872.34 = 428.19/x
  3. Step 3: Cross multiply
    582.21x = 872.34 × 428.19
  4. Step 4: Simplify right side
    582.21x = 373,527.26
  5. Step 5: Solve for x
    x = 373,527.26/582.21
  6. Step 6: Final answer
    x = 641.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.