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Finding the Fourth Proportional to 886.30, 1,223.31 and 513.49

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Solution

The fourth proportional to 886.30, 1,223.31 and 513.49 is: 708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.30 : 1,223.31 = 513.49 : x
  2. Step 2: Convert to fraction form
    886.30/1,223.31 = 513.49/x
  3. Step 3: Cross multiply
    886.30x = 1,223.31 × 513.49
  4. Step 4: Simplify right side
    886.30x = 628,157.45
  5. Step 5: Solve for x
    x = 628,157.45/886.30
  6. Step 6: Final answer
    x = 708.74

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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.