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Finding the Fourth Proportional to 886.21, 1,222.99 and 513.15

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Solution

The fourth proportional to 886.21, 1,222.99 and 513.15 is: 708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.21 : 1,222.99 = 513.15 : x
  2. Step 2: Convert to fraction form
    886.21/1,222.99 = 513.15/x
  3. Step 3: Cross multiply
    886.21x = 1,222.99 × 513.15
  4. Step 4: Simplify right side
    886.21x = 627,577.32
  5. Step 5: Solve for x
    x = 627,577.32/886.21
  6. Step 6: Final answer
    x = 708.16

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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.