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Finding the Fourth Proportional to 891.63, 1,338.17 and 378.99

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Solution

The fourth proportional to 891.63, 1,338.17 and 378.99 is: 568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.63 : 1,338.17 = 378.99 : x
  2. Step 2: Convert to fraction form
    891.63/1,338.17 = 378.99/x
  3. Step 3: Cross multiply
    891.63x = 1,338.17 × 378.99
  4. Step 4: Simplify right side
    891.63x = 507,151.15
  5. Step 5: Solve for x
    x = 507,151.15/891.63
  6. Step 6: Final answer
    x = 568.79

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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.