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Finding the Fourth Proportional to 886.10, 1,223.14 and 513.25

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Solution

The fourth proportional to 886.10, 1,223.14 and 513.25 is: 708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.10 : 1,223.14 = 513.25 : x
  2. Step 2: Convert to fraction form
    886.10/1,223.14 = 513.25/x
  3. Step 3: Cross multiply
    886.10x = 1,223.14 × 513.25
  4. Step 4: Simplify right side
    886.10x = 627,776.61
  5. Step 5: Solve for x
    x = 627,776.61/886.10
  6. Step 6: Final answer
    x = 708.47

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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.