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Finding the Fourth Proportional to 822.94, 1,135.58 and 491.30

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Solution

The fourth proportional to 822.94, 1,135.58 and 491.30 is: 677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.94 : 1,135.58 = 491.30 : x
  2. Step 2: Convert to fraction form
    822.94/1,135.58 = 491.30/x
  3. Step 3: Cross multiply
    822.94x = 1,135.58 × 491.30
  4. Step 4: Simplify right side
    822.94x = 557,910.45
  5. Step 5: Solve for x
    x = 557,910.45/822.94
  6. Step 6: Final answer
    x = 677.95

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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.