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Finding the Fourth Proportional to 582.41, 872.51 and 338.20

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Solution

The fourth proportional to 582.41, 872.51 and 338.20 is: 506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.41 : 872.51 = 338.20 : x
  2. Step 2: Convert to fraction form
    582.41/872.51 = 338.20/x
  3. Step 3: Cross multiply
    582.41x = 872.51 × 338.20
  4. Step 4: Simplify right side
    582.41x = 295,079.01
  5. Step 5: Solve for x
    x = 295,079.01/582.41
  6. Step 6: Final answer
    x = 506.65

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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.