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Finding the Fourth Proportional to 886.70, 1,223.61 and 513.69

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Solution

The fourth proportional to 886.70, 1,223.61 and 513.69 is: 708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.70 : 1,223.61 = 513.69 : x
  2. Step 2: Convert to fraction form
    886.70/1,223.61 = 513.69/x
  3. Step 3: Cross multiply
    886.70x = 1,223.61 × 513.69
  4. Step 4: Simplify right side
    886.70x = 628,556.22
  5. Step 5: Solve for x
    x = 628,556.22/886.70
  6. Step 6: Final answer
    x = 708.88

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1.5x scale

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.