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Finding the Fourth Proportional to 809.01, 1,116.50 and 494.39

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Solution

The fourth proportional to 809.01, 1,116.50 and 494.39 is: 682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.01 : 1,116.50 = 494.39 : x
  2. Step 2: Convert to fraction form
    809.01/1,116.50 = 494.39/x
  3. Step 3: Cross multiply
    809.01x = 1,116.50 × 494.39
  4. Step 4: Simplify right side
    809.01x = 551,986.75
  5. Step 5: Solve for x
    x = 551,986.75/809.01
  6. Step 6: Final answer
    x = 682.30

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1.5x scale

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.