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Finding the Fourth Proportional to 886.90, 1,223.59 and 513.74

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Solution

The fourth proportional to 886.90, 1,223.59 and 513.74 is: 708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.90 : 1,223.59 = 513.74 : x
  2. Step 2: Convert to fraction form
    886.90/1,223.59 = 513.74/x
  3. Step 3: Cross multiply
    886.90x = 1,223.59 × 513.74
  4. Step 4: Simplify right side
    886.90x = 628,604.56
  5. Step 5: Solve for x
    x = 628,604.56/886.90
  6. Step 6: Final answer
    x = 708.77

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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.