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Finding the Fourth Proportional to 821.88, 1,133.64 and 646.92

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Solution

The fourth proportional to 821.88, 1,133.64 and 646.92 is: 892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.88 : 1,133.64 = 646.92 : x
  2. Step 2: Convert to fraction form
    821.88/1,133.64 = 646.92/x
  3. Step 3: Cross multiply
    821.88x = 1,133.64 × 646.92
  4. Step 4: Simplify right side
    821.88x = 733,374.39
  5. Step 5: Solve for x
    x = 733,374.39/821.88
  6. Step 6: Final answer
    x = 892.31

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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.