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Finding the Fourth Proportional to 886.68, 1,336.65 and 827.21

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Solution

The fourth proportional to 886.68, 1,336.65 and 827.21 is: 1,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.68 : 1,336.65 = 827.21 : x
  2. Step 2: Convert to fraction form
    886.68/1,336.65 = 827.21/x
  3. Step 3: Cross multiply
    886.68x = 1,336.65 × 827.21
  4. Step 4: Simplify right side
    886.68x = 1,105,690.25
  5. Step 5: Solve for x
    x = 1,105,690.25/886.68
  6. Step 6: Final answer
    x = 1,247.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.