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Finding the Fourth Proportional to 809.31, 1,116.90 and 494.58

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Solution

The fourth proportional to 809.31, 1,116.90 and 494.58 is: 682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.31 : 1,116.90 = 494.58 : x
  2. Step 2: Convert to fraction form
    809.31/1,116.90 = 494.58/x
  3. Step 3: Cross multiply
    809.31x = 1,116.90 × 494.58
  4. Step 4: Simplify right side
    809.31x = 552,396.40
  5. Step 5: Solve for x
    x = 552,396.40/809.31
  6. Step 6: Final answer
    x = 682.55

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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.