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Finding the Fourth Proportional to 582.62, 872.78 and 338.63

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Solution

The fourth proportional to 582.62, 872.78 and 338.63 is: 507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.62 : 872.78 = 338.63 : x
  2. Step 2: Convert to fraction form
    582.62/872.78 = 338.63/x
  3. Step 3: Cross multiply
    582.62x = 872.78 × 338.63
  4. Step 4: Simplify right side
    582.62x = 295,549.49
  5. Step 5: Solve for x
    x = 295,549.49/582.62
  6. Step 6: Final answer
    x = 507.28

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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.