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Finding the Fourth Proportional to 891.36, 1,229.76 and 518.16

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Solution

The fourth proportional to 891.36, 1,229.76 and 518.16 is: 714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.36 : 1,229.76 = 518.16 : x
  2. Step 2: Convert to fraction form
    891.36/1,229.76 = 518.16/x
  3. Step 3: Cross multiply
    891.36x = 1,229.76 × 518.16
  4. Step 4: Simplify right side
    891.36x = 637,212.44
  5. Step 5: Solve for x
    x = 637,212.44/891.36
  6. Step 6: Final answer
    x = 714.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.