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Finding the Fourth Proportional to 886.19, 1,328.60 and 338.53

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Solution

The fourth proportional to 886.19, 1,328.60 and 338.53 is: 507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.19 : 1,328.60 = 338.53 : x
  2. Step 2: Convert to fraction form
    886.19/1,328.60 = 338.53/x
  3. Step 3: Cross multiply
    886.19x = 1,328.60 × 338.53
  4. Step 4: Simplify right side
    886.19x = 449,770.97
  5. Step 5: Solve for x
    x = 449,770.97/886.19
  6. Step 6: Final answer
    x = 507.53

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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.