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Finding the Fourth Proportional to 886, 1,221.48 and 649.76

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Solution

The fourth proportional to 886, 1,221.48 and 649.76 is: 895.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    886 : 1,221.48 = 649.76 : x
  2. Step 2: Convert to fraction form
    886/1,221.48 = 649.76/x
  3. Step 3: Cross multiply
    886x = 1,221.48 × 649.76
  4. Step 4: Simplify right side
    886x = 793,668.84
  5. Step 5: Solve for x
    x = 793,668.84/886
  6. Step 6: Final answer
    x = 895.79

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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.