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Finding the Fourth Proportional to 821.90, 1,133.50 and 646.94

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Solution

The fourth proportional to 821.90, 1,133.50 and 646.94 is: 892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.90 : 1,133.50 = 646.94 : x
  2. Step 2: Convert to fraction form
    821.90/1,133.50 = 646.94/x
  3. Step 3: Cross multiply
    821.90x = 1,133.50 × 646.94
  4. Step 4: Simplify right side
    821.90x = 733,306.49
  5. Step 5: Solve for x
    x = 733,306.49/821.90
  6. Step 6: Final answer
    x = 892.21

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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.