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Finding the Fourth Proportional to 822.71, 1,135.23 and 491.06

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Solution

The fourth proportional to 822.71, 1,135.23 and 491.06 is: 677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.71 : 1,135.23 = 491.06 : x
  2. Step 2: Convert to fraction form
    822.71/1,135.23 = 491.06/x
  3. Step 3: Cross multiply
    822.71x = 1,135.23 × 491.06
  4. Step 4: Simplify right side
    822.71x = 557,467.73
  5. Step 5: Solve for x
    x = 557,467.73/822.71
  6. Step 6: Final answer
    x = 677.60

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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.