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Finding the Fourth Proportional to 582.21, 872.15 and 350.96

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Solution

The fourth proportional to 582.21, 872.15 and 350.96 is: 525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.21 : 872.15 = 350.96 : x
  2. Step 2: Convert to fraction form
    582.21/872.15 = 350.96/x
  3. Step 3: Cross multiply
    582.21x = 872.15 × 350.96
  4. Step 4: Simplify right side
    582.21x = 306,090.19
  5. Step 5: Solve for x
    x = 306,090.19/582.21
  6. Step 6: Final answer
    x = 525.74

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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.