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Finding the Fourth Proportional to 808.65, 1,116.01 and 494.12

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Solution

The fourth proportional to 808.65, 1,116.01 and 494.12 is: 681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.65 : 1,116.01 = 494.12 : x
  2. Step 2: Convert to fraction form
    808.65/1,116.01 = 494.12/x
  3. Step 3: Cross multiply
    808.65x = 1,116.01 × 494.12
  4. Step 4: Simplify right side
    808.65x = 551,439.99
  5. Step 5: Solve for x
    x = 551,439.99/808.65
  6. Step 6: Final answer
    x = 681.93

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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.