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Finding the Fourth Proportional to 821.88, 1,135.62 and 648.54

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Solution

The fourth proportional to 821.88, 1,135.62 and 648.54 is: 896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.88 : 1,135.62 = 648.54 : x
  2. Step 2: Convert to fraction form
    821.88/1,135.62 = 648.54/x
  3. Step 3: Cross multiply
    821.88x = 1,135.62 × 648.54
  4. Step 4: Simplify right side
    821.88x = 736,494.99
  5. Step 5: Solve for x
    x = 736,494.99/821.88
  6. Step 6: Final answer
    x = 896.11

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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.