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Finding the Fourth Proportional to 811.88, 1,217.82 and 650.58

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Solution

The fourth proportional to 811.88, 1,217.82 and 650.58 is: 975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.88 : 1,217.82 = 650.58 : x
  2. Step 2: Convert to fraction form
    811.88/1,217.82 = 650.58/x
  3. Step 3: Cross multiply
    811.88x = 1,217.82 × 650.58
  4. Step 4: Simplify right side
    811.88x = 792,289.34
  5. Step 5: Solve for x
    x = 792,289.34/811.88
  6. Step 6: Final answer
    x = 975.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.