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Finding the Fourth Proportional to 886.37, 1,329.78 and 338.25

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Solution

The fourth proportional to 886.37, 1,329.78 and 338.25 is: 507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.37 : 1,329.78 = 338.25 : x
  2. Step 2: Convert to fraction form
    886.37/1,329.78 = 338.25/x
  3. Step 3: Cross multiply
    886.37x = 1,329.78 × 338.25
  4. Step 4: Simplify right side
    886.37x = 449,798.09
  5. Step 5: Solve for x
    x = 449,798.09/886.37
  6. Step 6: Final answer
    x = 507.46

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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.